Package evaluation to test ClusteredLowRankSolver on Julia 1.14.0-DEV.1808 (1cd77b505e*) started at 2026-02-26T18:02:42.447 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 13.51s ################################################################################ # Installation # Installing ClusteredLowRankSolver... Resolving package versions... Installed FLINT_jll ────────────── v301.400.1+0 Installed MacroTools ───────────── v0.5.16 Installed Combinatorics ────────── v1.1.0 Installed FillArrays ───────────── v1.16.0 Installed HashArrayMappedTries ─── v0.2.0 Installed KrylovKit ────────────── v0.10.2 Installed OpenSpecFun_jll ──────── v0.5.6+0 Installed IrrationalConstants ──── v0.2.6 Installed GenericLinearAlgebra ─── v0.3.19 Installed LogExpFunctions ──────── v0.3.29 Installed OpenBLAS32_jll ───────── v0.3.30+0 Installed PrecompileTools ──────── v1.3.3 Installed ClusteredLowRankSolver ─ v2.0.0 Installed AbstractAlgebra ──────── v0.48.4 Installed PackageExtensionCompat ─ v1.0.2 Installed SpecialFunctions ─────── v2.7.1 Installed JLLWrappers ──────────── v1.7.1 Installed IterTools ────────────── v1.10.0 Installed ScopedValues ─────────── v1.5.0 Installed VectorInterface ──────── v0.5.0 Installed Arblib ───────────────── v1.7.0 Installed DocStringExtensions ──── v0.9.5 Installed RowEchelon ───────────── v0.2.1 Installed BlockDiagonals ───────── v0.2.0 Installed Preferences ──────────── v1.5.2 Installed Nemo ─────────────────── v0.54.1 Installed RandomExtensions ─────── v0.4.4 Installing 3 artifacts Installed artifact OpenSpecFun 194.9 KiB Installed artifact OpenBLAS32 10.0 MiB Installed artifact FLINT 23.6 MiB Updating `~/.julia/environments/v1.14/Project.toml` [cadeb640] + ClusteredLowRankSolver v2.0.0 Updating `~/.julia/environments/v1.14/Manifest.toml` [c3fe647b] + AbstractAlgebra v0.48.4 [fb37089c] + Arblib v1.7.0 [0a1fb500] + BlockDiagonals v0.2.0 [cadeb640] + ClusteredLowRankSolver v2.0.0 [861a8166] + Combinatorics v1.1.0 [ffbed154] + DocStringExtensions v0.9.5 [1a297f60] + FillArrays v1.16.0 [14197337] + GenericLinearAlgebra v0.3.19 [076d061b] + HashArrayMappedTries v0.2.0 [92d709cd] + IrrationalConstants v0.2.6 [c8e1da08] + IterTools v1.10.0 [692b3bcd] + JLLWrappers v1.7.1 [0b1a1467] + KrylovKit v0.10.2 [2ab3a3ac] + LogExpFunctions v0.3.29 [1914dd2f] + MacroTools v0.5.16 [2edaba10] + Nemo v0.54.1 [65ce6f38] + PackageExtensionCompat v1.0.2 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.2 [fb686558] + RandomExtensions v0.4.4 [af85af4c] + RowEchelon v0.2.1 [7e506255] + ScopedValues v1.5.0 [276daf66] + SpecialFunctions v2.7.1 [409d34a3] + VectorInterface v0.5.0 [e134572f] + FLINT_jll v301.400.1+0 [656ef2d0] + OpenBLAS32_jll v0.3.30+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [56f22d72] + Artifacts v1.11.0 [ade2ca70] + Dates v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.13.0 [fa267f1f] + TOML v1.0.3 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1 [781609d7] + GMP_jll v6.3.0+2 [3a97d323] + MPFR_jll v4.2.2+0 [4536629a] + OpenBLAS_jll v0.3.30+0 [05823500] + OpenLibm_jll v0.8.7+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [8e850b90] + libblastrampoline_jll v5.15.0+0 Installation completed after 9.44s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling packages... 4728.2 ms ✓ TestEnv 1 dependency successfully precompiled in 5 seconds. 27 already precompiled. Precompiling package dependencies... Precompiling packages... 4599.7 ms ✓ MacroTools 1114.2 ms ✓ Statistics 2044.0 ms ✓ IrrationalConstants 987.2 ms ✓ StaticArraysCore 1298.3 ms ✓ OrderedCollections 917.5 ms ✓ HashArrayMappedTries 1136.1 ms ✓ DocStringExtensions 1189.9 ms ✓ IterTools 2200.0 ms ✓ Combinatorics 843.9 ms ✓ RowEchelon 2222.5 ms ✓ FillArrays 1340.3 ms ✓ TranscodingStreams 1225.9 ms ✓ VectorInterface 808.3 ms ✓ PackageExtensionCompat 4712.3 ms ✓ RandomExtensions 1689.5 ms ✓ GenericLinearAlgebra 1067.4 ms ✓ NaNMath 1486.4 ms ✓ StructUtils 1136.7 ms ✓ Compat 1151.5 ms ✓ Preferences 12281.2 ms ✓ MutableArithmetics 1776.5 ms ✓ CommonSubexpressions 1351.1 ms ✓ Statistics → SparseArraysExt 874.5 ms ✓ DiffResults 3636.0 ms ✓ DataStructures 932.3 ms ✓ ScopedValues 1388.7 ms ✓ LogExpFunctions 1183.2 ms ✓ BlockDiagonals 1577.8 ms ✓ FillArrays → FillArraysSparseArraysExt 959.2 ms ✓ FillArrays → FillArraysStatisticsExt 1016.6 ms ✓ CodecZlib 3469.6 ms ✓ KrylovKit 852.7 ms ✓ Compat → CompatLinearAlgebraExt 1287.4 ms ✓ JLLWrappers 938.1 ms ✓ PrecompileTools 2376.7 ms ✓ QuadGK 1514.7 ms ✓ OpenBLAS32_jll 1524.0 ms ✓ Bzip2_jll 1524.6 ms ✓ OpenSpecFun_jll 16985.7 ms ✓ Parsers 103490.5 ms ✓ AbstractAlgebra 1524.9 ms ✓ FLINT_jll 1019.9 ms ✓ CodecBzip2 5110.5 ms ✓ SpecialFunctions 7533.3 ms ✓ JSON 7516.5 ms ✓ AbstractAlgebra → TestExt 35452.8 ms ✓ Nemo 1362.1 ms ✓ DiffRules 26331.1 ms ✓ Arblib 3218.1 ms ✓ BenchmarkTools 6979.3 ms ✓ ForwardDiff 12414.2 ms ✓ ClusteredLowRankSolver 2285.2 ms ✓ Arblib → ArblibForwardDiffExt 80028.0 ms ✓ MathOptInterface 65137.4 ms ✓ JuMP 13351.4 ms ✓ ClusteredLowRankSolver → MOIExt 19556.3 ms ✓ ClusteredLowRankSolver → JuMPExt 57 dependencies successfully precompiled in 483 seconds. 20 already precompiled. Precompilation completed after 516.11s ################################################################################ # Testing # Testing ClusteredLowRankSolver Status `/tmp/jl_3QDDKm/Project.toml` [c3fe647b] AbstractAlgebra v0.48.4 [cadeb640] ClusteredLowRankSolver v2.0.0 [4076af6c] JuMP v1.29.4 [b8f27783] MathOptInterface v1.49.0 [2edaba10] Nemo v0.54.1 [1fd47b50] QuadGK v2.11.2 [276daf66] SpecialFunctions v2.7.1 [37e2e46d] LinearAlgebra v1.13.0 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_3QDDKm/Manifest.toml` [c3fe647b] AbstractAlgebra v0.48.4 [fb37089c] Arblib v1.7.0 [6e4b80f9] BenchmarkTools v1.6.3 [0a1fb500] BlockDiagonals v0.2.0 [cadeb640] ClusteredLowRankSolver v2.0.0 [523fee87] CodecBzip2 v0.8.5 [944b1d66] CodecZlib v0.7.8 [861a8166] Combinatorics v1.1.0 [bbf7d656] CommonSubexpressions v0.3.1 [34da2185] Compat v4.18.1 [864edb3b] DataStructures v0.19.3 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [ffbed154] DocStringExtensions v0.9.5 [1a297f60] FillArrays v1.16.0 [f6369f11] ForwardDiff v1.3.2 [14197337] GenericLinearAlgebra v0.3.19 [076d061b] HashArrayMappedTries v0.2.0 [92d709cd] IrrationalConstants v0.2.6 [c8e1da08] IterTools v1.10.0 [692b3bcd] JLLWrappers v1.7.1 [682c06a0] JSON v1.4.0 [4076af6c] JuMP v1.29.4 [0b1a1467] KrylovKit v0.10.2 [2ab3a3ac] LogExpFunctions v0.3.29 [1914dd2f] MacroTools v0.5.16 [b8f27783] MathOptInterface v1.49.0 [d8a4904e] MutableArithmetics v1.6.7 [77ba4419] NaNMath v1.1.3 [2edaba10] Nemo v0.54.1 [bac558e1] OrderedCollections v1.8.1 [65ce6f38] PackageExtensionCompat v1.0.2 [69de0a69] Parsers v2.8.3 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.2 [1fd47b50] QuadGK v2.11.2 [fb686558] RandomExtensions v0.4.4 [af85af4c] RowEchelon v0.2.1 [7e506255] ScopedValues v1.5.0 [276daf66] SpecialFunctions v2.7.1 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [ec057cc2] StructUtils v2.6.3 [3bb67fe8] TranscodingStreams v0.11.3 [409d34a3] VectorInterface v0.5.0 [6e34b625] Bzip2_jll v1.0.9+0 [e134572f] FLINT_jll v301.400.1+0 [656ef2d0] OpenBLAS32_jll v0.3.30+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.13.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [de0858da] Printf v1.11.0 [9abbd945] Profile v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.0.0 [9e88b42a] Serialization v1.11.0 [2f01184e] SparseArrays v1.13.0 [f489334b] StyledStrings v1.13.0 [fa267f1f] TOML v1.0.3 [8dfed614] Test v1.11.0 [cf7118a7] UUIDs v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.3.0+1 [781609d7] GMP_jll v6.3.0+2 [3a97d323] MPFR_jll v4.2.2+0 [4536629a] OpenBLAS_jll v0.3.30+0 [05823500] OpenLibm_jll v0.8.7+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.1+2 [8e850b90] libblastrampoline_jll v5.15.0+0 Testing Running tests... iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 32.6 1.000e+20 0.000e+00 0.000e+00 0.00e+00 1.00e+10 1.00e+00 1.95e+10 7.42e-01 7.10e-01 3.00e-01 2 36.3 3.995e+19 1.999e+11 -2.907e+09 1.03e+00 2.58e+09 2.58e-01 5.65e+09 7.46e-01 7.17e-01 3.00e-01 3 36.3 1.576e+19 3.079e+11 -4.779e+09 1.03e+00 6.53e+08 6.53e-02 1.60e+09 7.32e-01 7.31e-01 3.00e-01 4 36.3 6.100e+18 4.277e+11 -6.725e+09 1.03e+00 1.75e+08 1.75e-02 4.31e+08 7.20e-01 7.22e-01 3.00e-01 5 36.3 2.433e+18 5.963e+11 -9.362e+09 1.03e+00 4.92e+07 4.92e-03 1.20e+08 7.11e-01 7.14e-01 3.00e-01 6 36.3 9.953e+17 8.401e+11 -1.309e+10 1.03e+00 1.42e+07 1.42e-03 3.42e+07 7.07e-01 7.10e-01 3.00e-01 7 36.4 4.128e+17 1.191e+12 -1.842e+10 1.03e+00 4.16e+06 4.16e-04 9.93e+06 7.05e-01 7.07e-01 3.00e-01 8 36.4 1.725e+17 1.693e+12 -2.598e+10 1.03e+00 1.23e+06 1.23e-04 2.91e+06 7.04e-01 7.06e-01 3.00e-01 9 36.4 7.238e+16 2.410e+12 -3.671e+10 1.03e+00 3.64e+05 3.64e-05 8.56e+05 7.03e-01 7.05e-01 3.00e-01 10 36.4 3.044e+16 3.431e+12 -5.194e+10 1.03e+00 1.08e+05 1.08e-05 2.53e+05 7.03e-01 7.04e-01 3.00e-01 11 36.4 1.281e+16 4.886e+12 -7.353e+10 1.03e+00 3.20e+04 3.20e-06 7.48e+04 7.03e-01 7.04e-01 3.00e-01 12 36.4 5.398e+15 6.956e+12 -1.042e+11 1.03e+00 9.51e+03 9.51e-07 2.21e+04 7.03e-01 7.04e-01 3.00e-01 13 36.4 2.275e+15 9.899e+12 -1.476e+11 1.03e+00 2.82e+03 2.82e-07 6.55e+03 7.03e-01 7.04e-01 3.00e-01 14 36.4 9.587e+14 1.407e+13 -2.094e+11 1.03e+00 8.38e+02 8.38e-08 1.94e+03 7.04e-01 7.05e-01 3.00e-01 15 36.4 4.036e+14 1.993e+13 -2.971e+11 1.03e+00 2.48e+02 2.48e-08 5.71e+02 7.06e-01 7.09e-01 3.00e-01 16 36.4 1.692e+14 2.789e+13 -4.222e+11 1.03e+00 7.31e+01 7.31e-09 1.66e+02 7.12e-01 7.22e-01 3.00e-01 17 36.4 7.003e+13 3.756e+13 -6.021e+11 1.03e+00 2.10e+01 2.10e-09 4.62e+01 7.31e-01 7.65e-01 3.00e-01 18 36.5 2.773e+13 4.485e+13 -8.676e+11 1.04e+00 5.66e+00 5.66e-10 1.08e+01 7.79e-01 9.17e-01 3.00e-01 19 36.5 9.540e+12 3.941e+13 -1.292e+12 1.07e+00 1.25e+00 1.25e-10 8.99e-01 9.22e-01 1.00e+00 3.00e-01 20 36.5 2.995e+12 1.720e+13 -1.811e+12 1.24e+00 9.79e-02 9.79e-12 2.23e-52 1.00e+00 1.00e+00 3.00e-01 21 36.5 8.988e+11 4.388e+12 -1.903e+12 2.53e+00 3.18e-65 0.00e+00 1.09e-51 1.00e+00 1.00e+00 3.00e-01 22 36.5 2.696e+11 1.339e+12 -5.487e+11 2.39e+00 1.67e-65 0.00e+00 3.44e-52 8.90e-01 8.90e-01 1.00e-01 23 36.5 5.361e+10 2.688e+11 -1.065e+11 2.31e+00 4.12e-66 2.67e-66 5.76e-53 8.70e-01 8.70e-01 1.00e-01 24 36.5 1.161e+10 5.819e+10 -2.310e+10 2.32e+00 7.94e-67 4.45e-67 6.31e-54 8.52e-01 8.52e-01 1.00e-01 25 36.5 2.713e+09 1.355e+10 -5.443e+09 2.34e+00 2.23e-67 9.27e-68 9.28e-55 8.36e-01 8.36e-01 1.00e-01 26 36.5 6.711e+08 3.370e+09 -1.328e+09 2.30e+00 5.56e-68 4.64e-68 1.50e-55 8.30e-01 8.30e-01 1.00e-01 27 36.5 1.696e+08 8.422e+08 -3.452e+08 2.39e+00 6.95e-69 1.28e-68 2.53e-56 8.10e-01 8.10e-01 1.00e-01 28 36.5 4.599e+07 2.340e+08 -8.791e+07 2.20e+00 1.25e-69 5.51e-69 4.79e-57 8.18e-01 8.18e-01 1.00e-01 29 36.6 1.213e+07 5.873e+07 -2.619e+07 2.61e+00 3.62e-70 1.16e-69 8.70e-58 7.63e-01 7.63e-01 1.00e-01 30 36.6 3.798e+06 2.001e+07 -6.576e+06 1.98e+00 1.61e-70 9.06e-71 2.06e-58 8.24e-01 8.24e-01 1.00e-01 31 36.6 9.800e+05 4.616e+06 -2.245e+06 2.89e+00 9.78e-71 2.72e-71 3.62e-59 7.75e-01 7.75e-01 1.00e-01 32 36.6 2.963e+05 1.559e+06 -5.151e+05 1.99e+00 3.10e-71 2.26e-71 8.14e-60 8.39e-01 8.39e-01 1.00e-01 33 36.6 7.263e+04 3.436e+05 -1.649e+05 2.85e+00 7.47e-72 6.51e-72 1.31e-60 7.97e-01 7.97e-01 1.00e-01 34 36.6 2.051e+04 1.063e+05 -3.733e+04 2.08e+00 2.78e-72 1.41e-72 2.66e-61 8.41e-01 8.41e-01 1.00e-01 35 36.6 4.988e+03 2.366e+04 -1.125e+04 2.81e+00 2.45e-73 1.24e-73 4.23e-62 8.01e-01 8.01e-01 1.00e-01 36 36.6 1.393e+03 7.141e+03 -2.612e+03 2.15e+00 1.06e-73 0.00e+00 8.43e-63 8.38e-01 8.38e-01 1.00e-01 37 36.6 3.422e+02 1.603e+03 -7.929e+02 2.96e+00 2.65e-74 6.63e-75 1.36e-63 7.97e-01 7.97e-01 1.00e-01 38 36.6 9.665e+01 4.860e+02 -1.905e+02 2.29e+00 9.81e-75 7.19e-75 2.76e-64 8.39e-01 8.39e-01 1.00e-01 39 36.6 2.366e+01 1.051e+02 -6.048e+01 3.71e+00 3.04e-75 1.31e-75 4.45e-65 8.03e-01 8.03e-01 1.00e-01 40 36.7 6.562e+00 2.998e+01 -1.595e+01 3.28e+00 9.15e-76 9.50e-77 8.76e-66 8.57e-01 8.57e-01 1.00e-01 41 36.7 1.499e+00 4.629e+00 -5.866e+00 8.49e+00 1.21e-76 3.45e-77 1.25e-66 8.75e-01 8.75e-01 1.00e-01 42 36.7 3.183e-01 -4.666e-01 -2.695e+00 7.05e-01 4.32e-77 8.64e-77 1.56e-67 9.64e-01 9.64e-01 1.00e-01 43 36.7 4.224e-02 -1.900e+00 -2.195e+00 7.22e-02 8.64e-78 3.45e-77 5.67e-69 9.83e-01 9.83e-01 1.00e-01 44 36.7 4.861e-03 -2.089e+00 -2.123e+00 8.08e-03 8.64e-78 0.00e+00 9.50e-71 9.97e-01 9.97e-01 1.00e-01 45 36.7 5.004e-04 -2.110e+00 -2.114e+00 8.29e-04 1.73e-77 3.45e-77 3.13e-73 9.99e-01 9.99e-01 1.00e-01 46 36.7 5.050e-05 -2.113e+00 -2.113e+00 8.37e-05 8.64e-78 8.64e-78 2.07e-75 1.00e+00 1.00e+00 1.00e-01 47 36.7 5.060e-06 -2.113e+00 -2.113e+00 8.38e-06 8.64e-78 1.73e-77 2.63e-75 1.00e+00 1.00e+00 1.00e-01 48 36.7 5.062e-07 -2.113e+00 -2.113e+00 8.39e-07 8.64e-78 3.45e-77 1.11e-74 1.00e+00 1.00e+00 1.00e-01 49 36.7 5.063e-08 -2.113e+00 -2.113e+00 8.39e-08 8.64e-78 0.00e+00 7.22e-75 1.00e+00 1.00e+00 1.00e-01 50 36.7 5.064e-09 -2.113e+00 -2.113e+00 8.39e-09 8.64e-78 3.45e-77 3.40e-74 1.00e+00 1.00e+00 1.00e-01 51 36.7 5.064e-10 -2.113e+00 -2.113e+00 8.39e-10 8.64e-78 2.59e-77 3.46e-74 1.00e+00 1.00e+00 1.00e-01 52 36.8 5.065e-11 -2.113e+00 -2.113e+00 8.39e-11 8.64e-78 1.73e-77 1.24e-73 1.00e+00 1.00e+00 1.00e-01 53 36.8 5.065e-12 -2.113e+00 -2.113e+00 8.39e-12 8.64e-78 4.32e-77 2.27e-73 1.00e+00 1.00e+00 1.00e-01 54 36.8 5.066e-13 -2.113e+00 -2.113e+00 8.39e-13 8.64e-78 8.64e-78 2.88e-73 1.00e+00 1.00e+00 1.00e-01 55 36.8 5.066e-14 -2.113e+00 -2.113e+00 8.39e-14 8.64e-78 4.32e-77 4.60e-73 1.00e+00 1.00e+00 1.00e-01 56 36.8 5.067e-15 -2.113e+00 -2.113e+00 8.39e-15 8.64e-78 8.64e-78 1.09e-72 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 36.831033 seconds (11.30 M allocations: 680.457 MiB, 2.90% gc time, 96.84% compilation time: <1% of which was recompilation) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:-2.112913881423605414356099321581583292165417565932366910298769508527127439684582 Dual objective:-2.112913881423601867310019589849412246902405308581957046372316055465721136208166 duality gap:8.393730835214786453124075290655106393954799697766615288694909926941736297818216e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.5 1.000e+20 0.000e+00 0.000e+00 0.00e+00 1.00e+10 1.00e+00 2.10e+11 7.15e-01 8.46e-01 3.00e-01 2 0.6 4.213e+19 -7.841e+09 2.996e+11 1.05e+00 2.85e+09 2.85e-01 3.23e+10 7.79e-01 1.00e+00 3.00e-01 3 0.6 1.478e+19 1.359e+09 5.379e+11 9.95e-01 6.29e+08 6.29e-02 8.61e-66 8.20e-01 1.00e+00 3.00e-01 4 0.7 4.264e+18 4.397e+08 8.578e+11 9.99e-01 1.13e+08 1.13e-02 8.16e-65 8.92e-01 1.00e+00 3.00e-01 5 0.7 7.344e+17 4.931e+07 1.370e+12 1.00e+00 1.22e+07 1.22e-03 1.45e-64 8.98e-01 1.00e+00 3.00e-01 6 0.8 1.198e+17 4.867e+06 2.189e+12 1.00e+00 1.24e+06 1.24e-04 3.10e-64 8.95e-01 1.00e+00 3.00e-01 7 0.9 2.010e+16 5.242e+05 3.499e+12 1.00e+00 1.30e+05 1.30e-05 4.48e-64 8.99e-01 1.00e+00 3.00e-01 8 1.0 3.262e+15 5.203e+04 5.596e+12 1.00e+00 1.32e+04 1.32e-06 6.77e-64 8.97e-01 1.00e+00 3.00e-01 9 1.5 5.394e+14 5.483e+03 8.950e+12 1.00e+00 1.37e+03 1.37e-07 1.34e-63 8.99e-01 1.00e+00 3.00e-01 10 1.6 8.742e+13 5.525e+02 1.430e+13 1.00e+00 1.38e+02 1.38e-08 2.43e-63 8.99e-01 1.00e+00 3.00e-01 11 1.6 1.453e+13 6.378e+01 2.266e+13 1.00e+00 1.40e+01 1.40e-09 2.58e-63 8.96e-01 1.00e+00 3.00e-01 12 1.7 2.995e+12 1.385e+01 3.308e+13 1.00e+00 1.45e+00 1.45e-10 4.90e-63 8.80e-01 1.00e+00 3.00e-01 13 1.8 1.001e+12 9.125e+00 2.897e+13 1.00e+00 1.74e-01 1.74e-11 4.92e-63 8.85e-01 1.00e+00 3.00e-01 14 1.8 3.229e+11 8.728e+00 1.226e+13 1.00e+00 2.01e-02 2.01e-12 5.85e-63 8.77e-01 1.00e+00 3.00e-01 15 1.9 9.802e+10 8.791e+00 3.989e+12 1.00e+00 2.47e-03 2.47e-13 9.45e-64 1.00e+00 1.00e+00 3.00e-01 16 1.9 2.964e+10 8.979e+00 1.245e+12 1.00e+00 5.18e-77 1.73e-77 1.69e-64 1.00e+00 1.00e+00 3.00e-01 17 2.0 8.892e+09 9.036e+00 3.735e+11 1.00e+00 3.45e-77 1.73e-77 1.08e-65 9.97e-01 9.97e-01 1.00e-01 18 2.1 9.112e+08 9.041e+00 3.827e+10 1.00e+00 6.91e-77 1.73e-77 8.90e-66 1.00e+00 1.00e+00 1.00e-01 19 2.1 9.117e+07 9.046e+00 3.829e+09 1.00e+00 4.32e-77 1.73e-77 4.82e-67 1.00e+00 1.00e+00 1.00e-01 20 2.2 9.118e+06 9.050e+00 3.830e+08 1.00e+00 1.04e-76 1.73e-77 2.34e-68 1.00e+00 1.00e+00 1.00e-01 21 2.3 9.119e+05 9.054e+00 3.830e+07 1.00e+00 5.18e-77 1.73e-77 8.69e-69 1.00e+00 1.00e+00 1.00e-01 22 2.3 9.120e+04 9.058e+00 3.830e+06 1.00e+00 3.45e-77 3.45e-77 5.80e-70 1.00e+00 1.00e+00 1.00e-01 23 2.4 9.121e+03 9.061e+00 3.831e+05 1.00e+00 3.45e-77 1.73e-77 3.17e-71 1.00e+00 1.00e+00 1.00e-01 24 2.4 9.122e+02 9.064e+00 3.832e+04 1.00e+00 3.45e-77 3.45e-77 2.26e-72 1.00e+00 1.00e+00 1.00e-01 25 2.5 9.153e+01 9.069e+00 3.854e+03 9.95e-01 5.40e-77 3.45e-77 5.66e-73 9.96e-01 9.96e-01 1.00e-01 26 2.6 9.453e+00 9.090e+00 4.061e+02 9.56e-01 5.18e-77 1.73e-77 2.28e-74 9.67e-01 9.67e-01 1.00e-01 27 2.6 1.226e+00 9.266e+00 6.078e+01 7.35e-01 5.18e-77 1.73e-77 7.19e-75 8.41e-01 8.41e-01 1.00e-01 28 2.7 2.985e-01 1.028e+01 2.281e+01 3.79e-01 6.91e-77 3.45e-77 1.79e-75 7.57e-01 7.57e-01 1.00e-01 29 2.8 9.522e-02 1.184e+01 1.584e+01 1.45e-01 1.04e-76 3.45e-77 5.19e-75 5.18e-01 5.18e-01 1.00e-01 30 2.8 5.085e-02 1.263e+01 1.477e+01 7.79e-02 3.45e-77 3.45e-77 9.97e-75 6.13e-01 6.13e-01 1.00e-01 31 2.9 2.282e-02 1.280e+01 1.376e+01 3.61e-02 3.45e-77 3.45e-77 4.86e-75 8.46e-01 8.46e-01 1.00e-01 32 3.0 5.436e-03 1.307e+01 1.330e+01 8.66e-03 4.90e-77 2.59e-77 1.27e-74 8.46e-01 8.46e-01 1.00e-01 33 3.5 1.296e-03 1.314e+01 1.319e+01 2.07e-03 6.91e-77 1.73e-77 9.44e-74 8.17e-01 8.17e-01 1.00e-01 34 3.6 3.428e-04 1.315e+01 1.317e+01 5.47e-04 7.95e-77 1.73e-77 3.42e-73 8.07e-01 8.07e-01 1.00e-01 35 3.6 9.373e-05 1.316e+01 1.316e+01 1.50e-04 6.91e-77 3.45e-77 1.15e-72 7.58e-01 7.58e-01 1.00e-01 36 3.7 2.978e-05 1.316e+01 1.316e+01 4.75e-05 4.00e-77 2.59e-77 6.98e-73 8.83e-01 8.83e-01 1.00e-01 37 3.8 6.117e-06 1.316e+01 1.316e+01 9.76e-06 6.91e-77 1.73e-77 2.09e-72 8.72e-01 8.72e-01 1.00e-01 38 3.8 1.315e-06 1.316e+01 1.316e+01 2.10e-06 6.91e-77 1.73e-77 9.95e-73 9.01e-01 9.01e-01 1.00e-01 39 3.9 2.487e-07 1.316e+01 1.316e+01 3.97e-07 5.18e-77 0.00e+00 5.16e-72 9.70e-01 9.70e-01 1.00e-01 40 4.0 3.167e-08 1.316e+01 1.316e+01 5.05e-08 5.18e-77 1.73e-77 1.16e-71 9.98e-01 9.98e-01 1.00e-01 41 4.0 3.234e-09 1.316e+01 1.316e+01 5.16e-09 3.46e-77 1.73e-77 1.06e-71 9.98e-01 9.98e-01 1.00e-01 42 4.1 3.294e-10 1.316e+01 1.316e+01 5.26e-10 3.45e-77 1.73e-77 1.01e-71 1.00e+00 1.00e+00 1.00e-01 43 4.1 3.303e-11 1.316e+01 1.316e+01 5.27e-11 5.68e-77 3.45e-77 6.95e-72 1.00e+00 1.00e+00 1.00e-01 44 4.2 3.303e-12 1.316e+01 1.316e+01 5.27e-12 5.18e-77 2.59e-77 4.70e-72 1.00e+00 1.00e+00 1.00e-01 45 4.3 3.304e-13 1.316e+01 1.316e+01 5.27e-13 3.69e-77 2.59e-77 1.14e-71 1.00e+00 1.00e+00 1.00e-01 46 4.3 3.304e-14 1.316e+01 1.316e+01 5.27e-14 5.63e-77 2.59e-77 8.18e-72 1.00e+00 1.00e+00 1.00e-01 47 4.4 3.304e-15 1.316e+01 1.316e+01 5.27e-15 6.91e-77 1.73e-77 9.38e-72 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 4.410557 seconds (5.52 M allocations: 370.565 MiB, 37.10% gc time, 6.48% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:13.15831434739031265878847092470004212875465247431827282214652782601890449250884 Dual objective:13.15831434739029877955099413139263343946830262128421758919359965628513925987138 duality gap:5.273942053051036393329815874829484675076157385514389216204234829742023624240061e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.1 1.000e+20 1.585e-02 1.585e-02 0.00e+00 1.00e+10 3.02e+20 8.43e+10 7.03e-01 7.57e-01 3.00e-01 2 0.2 4.190e+19 -2.320e+10 -2.620e+08 9.78e-01 2.97e+09 8.99e+19 2.04e+10 7.89e-01 7.78e-01 3.00e-01 3 0.3 1.306e+19 -4.643e+10 -1.742e+09 9.28e-01 6.28e+08 1.90e+19 4.53e+09 8.17e-01 7.43e-01 3.00e-01 4 0.5 3.686e+18 -7.438e+10 -1.494e+09 9.61e-01 1.15e+08 3.48e+18 1.17e+09 8.25e-01 8.15e-01 3.00e-01 5 1.0 9.725e+17 -1.038e+11 1.515e+08 1.00e+00 2.01e+07 6.09e+17 2.16e+08 7.94e-01 7.63e-01 3.00e-01 6 1.1 3.020e+17 -1.438e+11 3.329e+09 1.05e+00 4.16e+06 1.26e+17 5.11e+07 7.09e-01 7.99e-01 3.00e-01 7 1.2 1.203e+17 -1.906e+11 1.626e+10 1.19e+00 1.21e+06 3.65e+16 1.03e+07 7.49e-01 8.14e-01 3.00e-01 8 1.3 4.286e+16 -2.882e+11 3.009e+10 1.23e+00 3.03e+05 9.15e+15 1.92e+06 7.63e-01 8.17e-01 3.00e-01 9 1.4 1.468e+16 -4.788e+11 5.004e+10 1.23e+00 7.18e+04 2.17e+15 3.51e+05 7.82e-01 6.89e-01 3.00e-01 10 1.5 4.729e+15 -8.435e+11 8.455e+10 1.22e+00 1.57e+04 4.74e+14 1.09e+05 6.46e-01 6.36e-01 3.00e-01 11 1.6 2.321e+15 -1.155e+12 1.377e+11 1.27e+00 5.54e+03 1.67e+14 3.98e+04 6.72e-01 6.11e-01 3.00e-01 12 1.8 1.063e+15 -1.592e+12 1.951e+11 1.28e+00 1.81e+03 5.49e+13 1.55e+04 5.62e-01 9.01e-01 3.00e-01 13 1.9 6.779e+14 -2.021e+12 2.787e+11 1.32e+00 7.94e+02 2.40e+13 1.53e+03 8.24e-01 9.11e-01 3.00e-01 14 2.0 1.835e+14 -5.984e+12 4.300e+11 1.15e+00 1.40e+02 4.23e+12 1.36e+02 8.55e-01 1.00e+00 3.00e-01 15 2.1 4.247e+13 -1.546e+13 6.864e+11 1.09e+00 2.03e+01 6.13e+11 3.56e-49 8.97e-01 1.00e+00 3.00e-01 16 2.2 7.181e+12 -1.302e+13 1.093e+12 1.18e+00 2.08e+00 6.30e+10 1.55e-48 8.89e-01 1.00e+00 3.00e-01 17 2.3 1.329e+12 -3.359e+12 1.724e+12 3.11e+00 2.31e-01 6.99e+09 1.74e-48 8.33e-01 1.00e+00 3.00e-01 18 2.4 3.857e+11 -8.933e+11 2.306e+12 2.26e+00 3.86e-02 1.17e+09 2.04e-47 7.07e-01 1.00e+00 3.00e-01 19 2.5 1.766e+11 -3.434e+11 1.375e+12 1.67e+00 1.13e-02 3.42e+08 1.26e-47 8.44e-01 8.41e-01 3.00e-01 20 2.6 4.903e+10 -9.837e+10 7.115e+11 1.32e+00 1.77e-03 5.34e+07 5.18e-47 8.56e-01 1.00e+00 3.00e-01 21 2.7 1.622e+10 -2.672e+10 4.770e+11 1.12e+00 2.54e-04 7.67e+06 4.50e-47 7.71e-01 1.00e+00 3.00e-01 22 2.8 5.589e+09 -9.867e+09 1.839e+11 1.11e+00 5.81e-05 1.76e+06 1.12e-47 8.65e-01 8.10e-01 3.00e-01 23 3.0 2.102e+09 -2.786e+09 8.647e+10 1.07e+00 7.86e-06 2.38e+05 1.78e-48 7.54e-01 1.00e+00 3.00e-01 24 3.1 6.491e+08 -1.160e+09 2.539e+10 1.10e+00 1.93e-06 5.84e+04 6.39e-49 9.04e-01 9.19e-01 3.00e-01 25 3.2 2.210e+08 -2.876e+08 9.863e+09 1.06e+00 1.86e-07 5.62e+03 2.45e-48 9.41e-01 1.00e+00 3.00e-01 26 3.3 6.517e+07 -7.947e+07 3.067e+09 1.05e+00 1.11e-08 3.34e+02 2.21e-47 1.00e+00 1.00e+00 3.00e-01 27 3.4 1.954e+07 -1.955e+07 9.380e+08 1.04e+00 1.90e-63 5.62e-43 1.97e-47 1.00e+00 1.00e+00 3.00e-01 28 4.0 5.862e+06 -5.862e+06 2.814e+08 1.04e+00 1.11e-63 8.14e-44 4.33e-48 1.00e+00 1.00e+00 1.00e-01 29 4.1 5.873e+05 -5.873e+05 2.819e+07 1.04e+00 1.81e-63 5.59e-44 2.28e-49 1.00e+00 1.00e+00 1.00e-01 30 4.2 5.874e+04 -5.874e+04 2.819e+06 1.04e+00 1.92e-63 7.47e-45 2.48e-50 1.00e+00 1.00e+00 1.00e-01 31 4.3 5.874e+03 -5.874e+03 2.820e+05 1.04e+00 1.86e-63 1.52e-44 1.26e-51 1.00e+00 1.00e+00 1.00e-01 32 4.4 5.875e+02 -5.874e+02 2.820e+04 1.04e+00 1.61e-63 6.01e-45 4.01e-53 1.00e+00 1.00e+00 1.00e-01 33 4.5 5.876e+01 -5.866e+01 2.821e+03 1.04e+00 1.01e-63 1.32e-43 1.05e-53 1.00e+00 1.00e+00 1.00e-01 34 4.6 5.883e+00 -5.788e+00 2.825e+02 1.04e+00 1.64e-63 5.84e-44 9.54e-55 9.99e-01 9.99e-01 1.00e-01 35 4.7 5.954e-01 -4.995e-01 2.867e+01 1.04e+00 1.86e-63 2.03e-43 1.05e-55 9.88e-01 9.88e-01 1.00e-01 36 4.8 6.616e-02 3.259e-02 3.274e+00 9.80e-01 1.32e-63 2.84e-43 1.18e-55 9.22e-01 9.22e-01 1.00e-01 37 4.9 1.126e-02 1.068e-01 6.584e-01 5.52e-01 1.52e-63 6.20e-43 3.55e-56 8.48e-01 8.48e-01 1.00e-01 38 5.0 2.667e-03 1.882e-01 3.188e-01 1.31e-01 1.35e-63 4.76e-43 1.68e-55 8.38e-01 8.38e-01 1.00e-01 39 5.1 6.553e-04 2.394e-01 2.715e-01 3.21e-02 1.64e-63 1.27e-42 2.82e-56 8.06e-01 8.06e-01 1.00e-01 40 5.2 1.798e-04 2.495e-01 2.583e-01 8.81e-03 1.28e-63 6.03e-43 2.24e-56 8.23e-01 8.23e-01 1.00e-01 41 5.3 4.661e-05 2.526e-01 2.549e-01 2.28e-03 1.27e-63 1.32e-42 3.12e-57 7.89e-01 7.89e-01 1.00e-01 42 5.5 1.350e-05 2.534e-01 2.540e-01 6.61e-04 1.00e-63 1.21e-42 4.23e-55 7.75e-01 7.75e-01 1.00e-01 43 5.6 4.080e-06 2.536e-01 2.538e-01 2.00e-04 2.05e-63 3.26e-43 1.13e-54 7.61e-01 7.61e-01 1.00e-01 44 5.7 1.286e-06 2.537e-01 2.538e-01 6.30e-05 1.73e-63 1.26e-43 9.24e-55 9.61e-01 9.61e-01 1.00e-01 45 5.8 1.739e-07 2.537e-01 2.537e-01 8.52e-06 1.47e-63 2.24e-42 1.04e-54 9.60e-01 9.60e-01 1.00e-01 46 5.9 2.369e-08 2.537e-01 2.537e-01 1.16e-06 1.80e-63 1.85e-44 3.17e-55 9.77e-01 9.77e-01 1.00e-01 47 6.0 2.854e-09 2.537e-01 2.537e-01 1.40e-07 1.53e-63 1.36e-42 1.17e-55 9.93e-01 9.93e-01 1.00e-01 48 6.1 3.031e-10 2.537e-01 2.537e-01 1.49e-08 1.15e-63 1.49e-42 4.49e-55 9.99e-01 9.99e-01 1.00e-01 49 6.2 3.050e-11 2.537e-01 2.537e-01 1.49e-09 1.37e-63 3.75e-43 9.38e-55 1.00e+00 1.00e+00 1.00e-01 50 6.4 3.051e-12 2.537e-01 2.537e-01 1.49e-10 1.24e-63 1.09e-42 2.20e-54 1.00e+00 1.00e+00 1.00e-01 51 6.9 3.051e-13 2.537e-01 2.537e-01 1.49e-11 1.07e-63 9.66e-43 1.29e-54 1.00e+00 1.00e+00 1.00e-01 52 7.0 3.051e-14 2.537e-01 2.537e-01 1.50e-12 1.27e-63 5.85e-43 8.20e-55 1.00e+00 1.00e+00 1.00e-01 53 7.1 3.052e-15 2.537e-01 2.537e-01 1.50e-13 1.36e-63 1.36e-42 2.23e-55 1.00e+00 1.00e+00 1.00e-01 54 7.2 3.052e-16 2.537e-01 2.537e-01 1.50e-14 1.10e-63 1.63e-42 4.05e-55 1.00e+00 1.00e+00 1.00e-01 55 7.3 3.052e-17 2.537e-01 2.537e-01 1.50e-15 1.30e-63 9.84e-43 1.04e-54 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 7.337590 seconds (7.92 M allocations: 466.088 MiB, 27.99% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.2537404272210648845825572936333222536419734444472138305007455350133936210825708 Dual objective:0.2537404272210647350114988774927950293696252948611701257163466199579584702963547 duality gap:1.495710584161405272242723481495860437047843989150554351507862160945126330164973e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.6 1.000e+20 0.000e+00 0.000e+00 0.00e+00 1.00e+10 1.00e+00 8.43e+10 6.32e-01 5.24e-01 3.00e-01 2 1.3 5.118e+19 7.190e+07 1.164e+10 9.88e-01 3.68e+09 3.68e-01 4.01e+10 6.36e-01 6.99e-01 3.00e-01 3 2.4 2.570e+19 6.028e+07 2.506e+10 9.95e-01 1.34e+09 1.34e-01 1.21e+10 7.82e-01 7.56e-01 3.00e-01 4 3.1 8.263e+18 1.502e+07 4.098e+10 9.99e-01 2.93e+08 2.93e-02 2.94e+09 8.07e-01 8.00e-01 3.00e-01 5 3.8 2.367e+18 3.547e+06 6.396e+10 1.00e+00 5.64e+07 5.64e-03 5.87e+08 8.04e-01 7.46e-01 3.00e-01 6 4.5 7.008e+17 8.038e+05 9.568e+10 1.00e+00 1.11e+07 1.11e-03 1.49e+08 8.14e-01 7.81e-01 3.00e-01 7 5.6 1.972e+17 1.837e+05 1.446e+11 1.00e+00 2.06e+06 2.06e-04 3.27e+07 7.79e-01 7.96e-01 3.00e-01 8 6.3 6.361e+16 4.687e+04 2.206e+11 1.00e+00 4.56e+05 4.56e-05 6.67e+06 7.28e-01 7.70e-01 3.00e-01 9 7.0 2.470e+16 1.204e+04 3.288e+11 1.00e+00 1.24e+05 1.24e-05 1.54e+06 7.29e-01 7.91e-01 3.00e-01 10 7.7 9.586e+15 3.109e+03 5.041e+11 1.00e+00 3.37e+04 3.37e-06 3.21e+05 7.58e-01 7.85e-01 3.00e-01 11 8.9 3.375e+15 7.627e+02 8.164e+11 1.00e+00 8.17e+03 8.17e-07 6.90e+04 6.24e-01 7.24e-01 3.00e-01 12 9.6 1.763e+15 3.251e+02 1.508e+12 1.00e+00 3.07e+03 3.07e-07 1.91e+04 5.66e-01 4.74e-01 3.00e-01 13 10.2 1.006e+15 3.029e+02 2.709e+12 1.00e+00 1.33e+03 1.33e-07 1.00e+04 6.70e-01 6.86e-01 3.00e-01 14 11.0 4.647e+14 3.925e+02 4.272e+12 1.00e+00 4.40e+02 4.40e-08 3.14e+03 5.67e-01 6.23e-01 3.00e-01 15 12.1 2.709e+14 6.587e+02 6.050e+12 1.00e+00 1.91e+02 1.91e-08 1.18e+03 4.25e-01 9.14e-01 3.00e-01 16 12.8 2.367e+14 6.300e+01 9.859e+12 1.00e+00 1.10e+02 1.10e-08 1.01e+02 7.83e-01 1.00e+00 3.00e-01 17 13.4 8.205e+13 7.894e+01 1.584e+13 1.00e+00 2.37e+01 2.37e-09 5.73e-58 8.13e-01 1.00e+00 3.00e-01 18 14.2 2.463e+13 1.886e+01 2.504e+13 1.00e+00 4.43e+00 4.43e-10 1.23e-57 8.84e-01 1.00e+00 3.00e-01 19 15.3 4.808e+12 2.447e+00 3.732e+13 1.00e+00 5.16e-01 5.16e-11 1.62e-57 8.88e-01 1.00e+00 3.00e-01 20 16.0 1.084e+12 3.495e-01 3.941e+13 1.00e+00 5.77e-02 5.77e-12 6.34e-57 8.56e-01 1.00e+00 3.00e-01 21 16.7 3.431e+11 1.295e-01 2.400e+13 1.00e+00 8.33e-03 8.33e-13 3.28e-57 8.25e-01 1.00e+00 3.00e-01 22 17.5 1.158e+11 9.545e-02 1.061e+13 1.00e+00 1.46e-03 1.46e-13 6.20e-58 8.40e-01 8.07e-01 3.00e-01 23 18.6 4.557e+10 8.306e-02 4.818e+12 1.00e+00 2.34e-04 2.34e-14 1.35e-58 7.20e-01 1.00e+00 3.00e-01 24 19.3 1.417e+10 8.217e-02 1.436e+12 1.00e+00 6.54e-05 6.54e-15 4.76e-60 8.96e-01 8.18e-01 3.00e-01 25 20.0 5.688e+09 7.650e-02 6.445e+11 1.00e+00 6.79e-06 6.79e-16 4.27e-59 9.34e-01 1.00e+00 3.00e-01 26 20.7 1.690e+09 7.658e-02 1.988e+11 1.00e+00 4.49e-07 4.49e-17 1.64e-59 1.00e+00 1.00e+00 3.00e-01 27 21.8 5.061e+08 7.648e-02 6.022e+10 1.00e+00 2.76e-74 4.44e-51 7.37e-59 1.00e+00 1.00e+00 3.00e-01 28 22.5 1.518e+08 7.648e-02 1.807e+10 1.00e+00 3.57e-74 5.71e-51 5.29e-59 1.00e+00 1.00e+00 1.00e-01 29 23.2 1.524e+07 7.648e-02 1.814e+09 1.00e+00 2.41e-74 4.85e-51 7.46e-60 1.00e+00 1.00e+00 1.00e-01 30 24.0 1.524e+06 7.649e-02 1.814e+08 1.00e+00 3.52e-74 3.89e-51 4.76e-61 1.00e+00 1.00e+00 1.00e-01 31 25.1 1.525e+05 7.649e-02 1.814e+07 1.00e+00 2.22e-74 5.06e-51 3.20e-62 1.00e+00 1.00e+00 1.00e-01 32 25.7 1.525e+04 7.649e-02 1.814e+06 1.00e+00 2.31e-74 3.58e-51 4.44e-63 1.00e+00 1.00e+00 1.00e-01 33 26.4 1.525e+03 7.649e-02 1.815e+05 1.00e+00 2.91e-74 2.18e-51 6.08e-64 1.00e+00 1.00e+00 1.00e-01 34 27.1 1.525e+02 7.649e-02 1.815e+04 1.00e+00 2.35e-74 3.13e-51 1.13e-65 1.00e+00 1.00e+00 1.00e-01 35 28.4 1.529e+01 7.653e-02 1.820e+03 1.00e+00 3.95e-74 3.80e-51 1.88e-66 9.97e-01 9.97e-01 1.00e-01 36 29.0 1.564e+00 7.692e-02 1.862e+02 9.99e-01 3.94e-74 5.88e-51 2.92e-67 9.76e-01 9.76e-01 1.00e-01 37 29.7 1.897e-01 8.062e-02 2.266e+01 9.93e-01 2.05e-74 5.70e-51 1.36e-68 8.77e-01 8.77e-01 1.00e-01 38 30.5 3.990e-02 1.073e-01 4.856e+00 9.57e-01 3.22e-74 5.76e-51 1.28e-68 9.21e-01 9.21e-01 1.00e-01 39 31.6 6.811e-03 1.612e-01 9.717e-01 7.15e-01 2.00e-74 2.07e-51 2.41e-68 8.71e-01 8.71e-01 1.00e-01 40 32.3 1.473e-03 2.059e-01 3.812e-01 1.75e-01 2.79e-74 2.75e-51 7.07e-69 8.63e-01 8.63e-01 1.00e-01 41 33.0 3.291e-04 2.437e-01 2.829e-01 3.92e-02 3.07e-74 8.05e-51 1.70e-69 8.93e-01 8.93e-01 1.00e-01 42 33.7 6.458e-05 2.517e-01 2.594e-01 7.69e-03 5.04e-74 6.35e-51 1.41e-69 8.48e-01 8.48e-01 1.00e-01 43 34.8 1.529e-05 2.532e-01 2.550e-01 1.82e-03 5.79e-74 5.72e-51 2.90e-68 8.38e-01 8.38e-01 1.00e-01 44 35.5 3.758e-06 2.536e-01 2.540e-01 4.47e-04 4.41e-74 7.49e-51 1.34e-67 8.60e-01 8.60e-01 1.00e-01 45 36.2 8.506e-07 2.537e-01 2.538e-01 1.01e-04 3.45e-74 1.13e-50 1.04e-66 9.32e-01 9.32e-01 1.00e-01 46 36.9 1.372e-07 2.537e-01 2.538e-01 1.63e-05 4.96e-74 1.10e-50 9.51e-67 9.60e-01 9.60e-01 1.00e-01 47 38.0 1.861e-08 2.537e-01 2.537e-01 2.21e-06 4.11e-74 1.69e-51 1.36e-66 9.53e-01 9.53e-01 1.00e-01 48 38.7 2.646e-09 2.537e-01 2.537e-01 3.15e-07 4.31e-74 5.72e-51 3.25e-67 9.65e-01 9.65e-01 1.00e-01 49 39.4 3.469e-10 2.537e-01 2.537e-01 4.13e-08 4.40e-74 5.77e-51 4.60e-66 9.73e-01 9.73e-01 1.00e-01 50 40.1 4.314e-11 2.537e-01 2.537e-01 5.13e-09 6.08e-74 1.30e-50 1.29e-65 9.75e-01 9.75e-01 1.00e-01 51 41.3 5.269e-12 2.537e-01 2.537e-01 6.27e-10 6.56e-74 5.69e-51 4.52e-65 9.79e-01 9.79e-01 1.00e-01 52 42.0 6.243e-13 2.537e-01 2.537e-01 7.43e-11 7.59e-74 8.67e-51 2.83e-64 9.96e-01 9.96e-01 1.00e-01 53 42.7 6.487e-14 2.537e-01 2.537e-01 7.72e-12 4.71e-74 4.44e-51 6.18e-64 1.00e+00 1.00e+00 1.00e-01 54 43.4 6.499e-15 2.537e-01 2.537e-01 7.73e-13 5.63e-74 3.44e-51 4.88e-62 1.00e+00 1.00e+00 1.00e-01 55 44.5 6.500e-16 2.537e-01 2.537e-01 7.73e-14 5.68e-74 7.80e-51 3.70e-61 1.00e+00 1.00e+00 1.00e-01 56 45.2 6.501e-17 2.537e-01 2.537e-01 7.74e-15 6.30e-74 1.19e-50 6.18e-61 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 45.227202 seconds (50.93 M allocations: 3.285 GiB, 20.62% gc time, 0.53% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.2537404272210653436335840455759763893577070500500677450958703619028265225875613971361183934 Dual objective:0.25374042722106456998406129013117527525394182347331180888434135626091097822005510197253115486 duality gap:7.7364952275544480111410376522657675593621152900564191554436750629516358723853908817528210986e-16 [ Info: Creating the univariate constraint [ Info: Constructing trivariate constraint iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.9 1.000e+06 1.000e+00 5.001e+03 1.00e+00 1.00e+03 0.00e+00 2.36e+06 6.53e-01 5.28e-01 3.00e-01 2 1.1 5.015e+05 5.164e+02 3.088e+03 7.13e-01 3.47e+02 0.00e+00 1.12e+06 4.22e-01 6.07e-01 3.00e-01 3 1.4 3.499e+05 6.688e+02 8.065e+03 8.47e-01 2.00e+02 0.00e+00 4.38e+05 5.84e-01 4.21e-01 3.00e-01 4 1.6 2.030e+05 5.414e+02 1.758e+04 9.40e-01 8.32e+01 0.00e+00 2.54e+05 4.22e-01 9.53e-01 3.00e-01 5 1.9 1.588e+05 3.876e+02 6.630e+04 9.88e-01 4.81e+01 0.00e+00 1.18e+04 7.78e-01 1.00e+00 3.00e-01 6 2.1 5.705e+04 1.104e+02 1.123e+05 9.98e-01 1.07e+01 0.00e+00 1.48e-66 8.24e-01 1.00e+00 3.00e-01 7 2.4 1.728e+04 2.822e+01 1.690e+05 1.00e+00 1.88e+00 0.00e+00 2.28e-66 8.75e-01 1.00e+00 3.00e-01 8 2.6 4.993e+03 1.126e+01 1.883e+05 1.00e+00 2.35e-01 0.00e+00 5.52e-66 8.48e-01 9.86e-01 3.00e-01 9 2.9 1.681e+03 9.036e+00 9.790e+04 1.00e+00 3.57e-02 0.00e+00 7.51e-66 8.19e-01 1.00e+00 3.00e-01 10 3.6 5.450e+02 8.700e+00 3.672e+04 1.00e+00 6.44e-03 0.00e+00 8.72e-66 8.33e-01 1.00e+00 3.00e-01 11 3.9 1.723e+02 8.588e+00 1.271e+04 9.99e-01 1.08e-03 0.00e+00 2.04e-66 1.00e+00 1.00e+00 3.00e-01 12 4.1 5.146e+01 8.519e+00 4.074e+03 9.96e-01 5.20e-74 0.00e+00 7.08e-67 1.00e+00 1.00e+00 3.00e-01 13 4.4 1.544e+01 8.502e+00 1.228e+03 9.86e-01 2.29e-73 0.00e+00 6.45e-68 9.92e-01 9.92e-01 1.00e-01 14 4.6 1.654e+00 8.507e+00 1.392e+02 8.85e-01 1.00e-73 0.00e+00 3.59e-69 9.78e-01 9.78e-01 1.00e-01 15 4.9 1.981e-01 8.562e+00 2.421e+01 4.77e-01 1.01e-73 0.00e+00 7.83e-70 8.60e-01 8.60e-01 1.00e-01 16 5.1 4.484e-02 8.877e+00 1.242e+01 1.66e-01 2.90e-74 0.00e+00 1.47e-69 8.02e-01 8.02e-01 1.00e-01 17 5.5 1.245e-02 9.486e+00 1.047e+01 4.93e-02 3.84e-74 0.00e+00 2.62e-69 7.62e-01 7.62e-01 1.00e-01 18 6.2 3.917e-03 9.841e+00 1.015e+01 1.55e-02 6.66e-74 0.00e+00 6.69e-69 7.52e-01 7.52e-01 1.00e-01 19 6.4 1.267e-03 9.941e+00 1.004e+01 5.01e-03 1.18e-73 0.00e+00 3.31e-69 8.14e-01 8.14e-01 1.00e-01 20 6.7 3.392e-04 9.983e+00 1.001e+01 1.34e-03 8.40e-74 0.00e+00 1.46e-69 7.89e-01 7.89e-01 1.00e-01 21 6.9 9.835e-05 9.995e+00 1.000e+01 3.89e-04 7.24e-74 0.00e+00 1.46e-68 9.42e-01 9.42e-01 1.00e-01 22 7.2 1.496e-05 9.999e+00 1.000e+01 5.91e-05 3.65e-74 0.00e+00 2.52e-69 9.79e-01 9.79e-01 1.00e-01 23 7.4 1.780e-06 1.000e+01 1.000e+01 7.03e-06 7.52e-74 0.00e+00 3.80e-69 9.89e-01 9.89e-01 1.00e-01 24 7.7 1.951e-07 1.000e+01 1.000e+01 7.71e-07 8.62e-74 0.00e+00 2.24e-69 9.97e-01 9.97e-01 1.00e-01 25 8.0 2.009e-08 1.000e+01 1.000e+01 7.94e-08 1.56e-73 0.00e+00 3.53e-69 1.00e+00 1.00e+00 1.00e-01 26 8.8 2.016e-09 1.000e+01 1.000e+01 7.96e-09 5.40e-74 0.00e+00 6.76e-69 1.00e+00 1.00e+00 1.00e-01 27 9.0 2.017e-10 1.000e+01 1.000e+01 7.97e-10 1.09e-73 0.00e+00 9.03e-69 1.00e+00 1.00e+00 1.00e-01 28 9.3 2.017e-11 1.000e+01 1.000e+01 7.97e-11 1.24e-73 0.00e+00 1.27e-68 1.00e+00 1.00e+00 1.00e-01 29 9.5 2.017e-12 1.000e+01 1.000e+01 7.97e-12 9.29e-74 0.00e+00 7.65e-69 1.00e+00 1.00e+00 1.00e-01 30 9.7 2.018e-13 1.000e+01 1.000e+01 7.97e-13 1.40e-73 0.00e+00 7.01e-69 1.00e+00 1.00e+00 1.00e-01 31 10.0 2.018e-14 1.000e+01 1.000e+01 7.97e-14 2.87e-74 0.00e+00 1.05e-68 1.00e+00 1.00e+00 1.00e-01 32 10.2 2.018e-15 1.000e+01 1.000e+01 7.97e-15 1.25e-73 0.00e+00 1.16e-68 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 10.255470 seconds (12.08 M allocations: 802.126 MiB, 28.96% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:10.0000000000000046419724074448082497942161656245626939603359779955727984532867 Dual objective:9.999999999999988697806312364629586633761075931040260493586399230528324306359606 duality gap:7.972083047540091986372085578494245942129327859993373175844167487250928694314984e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.6 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.6 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.6 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.6 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.6 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.6 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.6 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.6 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.6 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.7 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.7 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.7 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.7 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.7 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.7 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.7 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.7 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.7 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.7 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.7 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.7 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.7 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.7 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.7 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.7 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.7 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.8 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.8 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.8 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.8 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.8 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.8 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.8 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.8 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.8 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.8 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.8 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.8 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.8 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.825598 seconds (34.20 k allocations: 3.148 MiB, 91.22% gc time, 1.55% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 1.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.0 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 8.43e-81 1.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.1 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 1.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.1 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 1.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.1 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 3.37e-80 1.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.1 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 1.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.1 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 1.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.1 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 1.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.1 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 2.70e-79 9.95e+01 1.00e+00 9.05e-01 3.00e-01 10 0.1 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 9.50e+00 1.00e+00 9.47e-01 3.00e-01 11 0.1 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 5.00e-01 1.00e+00 1.00e+00 3.00e-01 12 0.1 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 5.40e-79 0.00e+00 1.00e+00 1.00e+00 3.00e-01 13 0.1 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 14 0.1 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 1.35e-79 2.45e-91 1.00e+00 1.00e+00 1.00e-01 15 0.1 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 1.69e-80 1.23e-90 1.00e+00 1.00e+00 1.00e-01 16 0.1 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 17 0.1 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 2.64e-82 1.23e-90 1.00e+00 1.00e+00 1.00e-01 18 0.1 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 1.65e-83 9.82e-91 1.00e+00 1.00e+00 1.00e-01 19 0.1 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 1.03e-84 7.36e-91 1.00e+00 1.00e+00 1.00e-01 20 0.2 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.2 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 1.61e-86 4.91e-91 1.00e+00 1.00e+00 1.00e-01 22 0.2 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 7.36e-91 9.98e-01 9.98e-01 1.00e-01 23 0.2 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 1.10e-88 9.82e-91 9.78e-01 9.78e-01 1.00e-01 24 0.2 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 1.77e-89 4.91e-91 8.86e-01 8.86e-01 1.00e-01 25 0.2 2.642e-01 1.213e+00 6.845e-01 2.78e-01 9.82e-91 9.82e-91 1.47e-90 9.25e-01 9.25e-01 1.00e-01 26 0.2 4.423e-02 1.057e+00 9.685e-01 4.37e-02 4.91e-91 9.82e-91 1.47e-90 9.82e-01 9.82e-01 1.00e-01 27 0.2 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 9.82e-91 4.91e-91 9.90e-01 9.90e-01 1.00e-01 28 0.2 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 9.82e-91 2.45e-90 9.98e-01 9.98e-01 1.00e-01 29 0.2 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 1.96e-90 4.91e-91 1.00e+00 1.00e+00 1.00e-01 30 0.2 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.2 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 9.82e-91 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.2 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 1.96e-90 1.47e-90 1.00e+00 1.00e+00 1.00e-01 33 0.2 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 1.96e-90 1.47e-90 1.00e+00 1.00e+00 1.00e-01 34 0.2 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 9.82e-91 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.2 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 1.96e-90 1.47e-90 1.00e+00 1.00e+00 1.00e-01 36 0.2 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 9.82e-91 4.91e-91 1.00e+00 1.00e+00 1.00e-01 37 0.3 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 38 0.3 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 1.96e-90 1.96e-90 1.00e+00 1.00e+00 1.00e-01 39 0.3 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 9.82e-91 1.58e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.263666 seconds (36.09 k allocations: 3.242 MiB, 80.45% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.99999999999999943082767216337127209759143460468258988906557772435476604996095098262648013301 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279658 duality gap:5.6917232783663520704518407084868243898485833877975145389337569723019498653208233770743335244e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.5 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.5 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.5 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.5 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.5 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.5 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.5 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.5 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.6 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.6 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.6 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.6 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.6 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.6 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.6 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.6 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.6 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.6 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.6 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.6 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.6 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.6 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.7 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.7 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.7 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.7 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.7 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.7 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.7 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.7 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.7 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.7 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.7 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.7 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.8 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.8 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.8 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.8 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.8 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.789025 seconds (480.56 k allocations: 27.281 MiB, 32.42% gc time, 56.21% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.0 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.0 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.1 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.1 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.1 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.1 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.1 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.1 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.1 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.1 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.1 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.1 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.1 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.1 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.1 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.1 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.1 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.1 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.1 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.1 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.2 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.2 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.2 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.2 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.2 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.2 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.2 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.2 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.2 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.2 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.2 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.2 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.2 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.2 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.2 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.3 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.3 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.3 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.285177 seconds (32.35 k allocations: 3.056 MiB, 84.07% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.0 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.0 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.1 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.1 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.1 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.1 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.1 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.1 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.1 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.1 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.1 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.1 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.1 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.1 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.1 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.1 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.1 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.1 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.2 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.2 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.2 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.2 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.2 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.2 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.2 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.2 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.2 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.2 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.2 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.2 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.2 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.3 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.3 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.3 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.3 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.3 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.3 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.3 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.292073 seconds (38.17 k allocations: 3.335 MiB, 72.14% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.5 1.000e+20 1.000e+00 7.000e+10 1.00e+00 1.00e+10 0.00e+00 7.05e+10 6.66e-01 6.95e-01 3.00e-01 2 1.1 4.559e+19 1.338e+10 7.193e+10 6.86e-01 3.34e+09 0.00e+00 2.15e+10 7.05e-01 7.53e-01 3.00e-01 3 1.1 1.822e+19 2.640e+10 9.901e+10 5.79e-01 9.85e+08 0.00e+00 5.31e+09 6.16e-01 7.88e-01 3.00e-01 4 1.1 8.970e+18 3.260e+10 1.789e+11 6.92e-01 3.78e+08 0.00e+00 1.12e+09 7.73e-01 1.00e+00 3.00e-01 5 1.1 3.189e+18 1.238e+10 3.561e+11 9.33e-01 8.58e+07 0.00e+00 2.42e-142 8.40e-01 1.00e+00 3.00e-01 6 1.1 8.172e+17 2.052e+09 5.731e+11 9.93e-01 1.37e+07 0.00e+00 3.65e-142 8.95e-01 1.00e+00 3.00e-01 7 1.1 1.367e+17 2.121e+08 9.202e+11 1.00e+00 1.44e+06 0.00e+00 3.74e-141 8.90e-01 1.00e+00 3.00e-01 8 1.2 2.412e+16 2.361e+07 1.476e+12 1.00e+00 1.58e+05 0.00e+00 9.58e-142 8.97e-01 1.00e+00 3.00e-01 9 1.2 3.957e+15 2.403e+06 2.364e+12 1.00e+00 1.62e+04 0.00e+00 1.80e-141 8.94e-01 1.00e+00 3.00e-01 10 1.2 6.738e+14 2.573e+05 3.785e+12 1.00e+00 1.73e+03 0.00e+00 1.31e-140 8.99e-01 1.00e+00 3.00e-01 11 1.2 1.095e+14 2.604e+04 6.056e+12 1.00e+00 1.75e+02 0.00e+00 1.98e-140 8.99e-01 1.00e+00 3.00e-01 12 1.2 1.816e+13 2.738e+03 9.636e+12 1.00e+00 1.76e+01 0.00e+00 4.11e-141 9.13e-01 1.00e+00 3.00e-01 13 1.2 3.342e+12 3.449e+02 1.456e+13 1.00e+00 1.53e+00 0.00e+00 5.59e-140 1.00e+00 1.00e+00 3.00e-01 14 1.2 1.007e+12 1.188e+02 1.410e+13 1.00e+00 2.86e-152 0.00e+00 5.18e-140 1.00e+00 1.00e+00 3.00e-01 15 1.3 3.022e+11 1.198e+02 4.231e+12 1.00e+00 9.55e-153 0.00e+00 2.46e-141 9.99e-01 9.99e-01 1.00e-01 16 1.3 3.062e+10 1.199e+02 4.287e+11 1.00e+00 4.77e-153 0.00e+00 7.96e-142 1.00e+00 1.00e+00 1.00e-01 17 1.3 3.063e+09 1.200e+02 4.288e+10 1.00e+00 9.55e-153 0.00e+00 1.48e-143 1.00e+00 1.00e+00 1.00e-01 18 1.3 3.063e+08 1.201e+02 4.288e+09 1.00e+00 9.55e-153 0.00e+00 1.09e-144 1.00e+00 1.00e+00 1.00e-01 19 1.3 3.063e+07 1.202e+02 4.289e+08 1.00e+00 9.55e-153 0.00e+00 7.46e-145 1.00e+00 1.00e+00 1.00e-01 20 1.3 3.064e+06 1.202e+02 4.289e+07 1.00e+00 9.55e-153 0.00e+00 5.14e-146 1.00e+00 1.00e+00 1.00e-01 21 1.4 3.064e+05 1.203e+02 4.290e+06 1.00e+00 4.77e-153 0.00e+00 3.11e-147 1.00e+00 1.00e+00 1.00e-01 22 1.4 3.065e+04 1.203e+02 4.293e+05 9.99e-01 9.55e-153 0.00e+00 2.34e-148 1.00e+00 1.00e+00 1.00e-01 23 1.4 3.075e+03 1.204e+02 4.317e+04 9.94e-01 9.55e-153 0.00e+00 1.63e-149 9.97e-01 9.97e-01 1.00e-01 24 1.4 3.167e+02 1.211e+02 4.554e+03 9.48e-01 9.55e-153 0.00e+00 2.86e-150 9.70e-01 9.70e-01 1.00e-01 25 1.4 4.021e+01 1.274e+02 6.904e+02 6.88e-01 9.55e-153 0.00e+00 3.10e-150 8.70e-01 8.70e-01 1.00e-01 26 1.4 8.743e+00 1.689e+02 2.913e+02 2.66e-01 5.07e-153 0.00e+00 7.73e-151 9.15e-01 9.15e-01 1.00e-01 27 1.4 1.547e+00 2.316e+02 2.532e+02 4.47e-02 1.91e-152 0.00e+00 6.25e-151 9.82e-01 9.82e-01 1.00e-01 28 1.5 1.800e-01 2.389e+02 2.414e+02 5.25e-03 1.91e-152 0.00e+00 2.36e-151 9.89e-01 9.89e-01 1.00e-01 29 1.5 1.986e-02 2.399e+02 2.401e+02 5.79e-04 9.55e-153 0.00e+00 1.07e-150 9.97e-01 9.97e-01 1.00e-01 30 1.5 2.030e-03 2.400e+02 2.400e+02 5.92e-05 1.91e-152 0.00e+00 1.75e-150 1.00e+00 1.00e+00 1.00e-01 31 1.5 2.034e-04 2.400e+02 2.400e+02 5.93e-06 9.55e-153 0.00e+00 1.69e-151 1.00e+00 1.00e+00 1.00e-01 32 1.5 2.035e-05 2.400e+02 2.400e+02 5.93e-07 1.91e-152 0.00e+00 2.18e-151 1.00e+00 1.00e+00 1.00e-01 33 1.5 2.035e-06 2.400e+02 2.400e+02 5.94e-08 1.91e-152 0.00e+00 2.00e-151 1.00e+00 1.00e+00 1.00e-01 34 1.5 2.035e-07 2.400e+02 2.400e+02 5.94e-09 9.55e-153 0.00e+00 8.30e-151 1.00e+00 1.00e+00 1.00e-01 35 1.6 2.035e-08 2.400e+02 2.400e+02 5.94e-10 1.91e-152 0.00e+00 5.16e-151 1.00e+00 1.00e+00 1.00e-01 36 1.6 2.036e-09 2.400e+02 2.400e+02 5.94e-11 1.91e-152 0.00e+00 3.06e-151 1.00e+00 1.00e+00 1.00e-01 37 1.6 2.036e-10 2.400e+02 2.400e+02 5.94e-12 1.91e-152 0.00e+00 1.17e-150 1.00e+00 1.00e+00 1.00e-01 38 1.6 2.036e-11 2.400e+02 2.400e+02 5.94e-13 3.82e-152 0.00e+00 5.75e-151 1.00e+00 1.00e+00 1.00e-01 39 1.6 2.036e-12 2.400e+02 2.400e+02 5.94e-14 1.91e-152 0.00e+00 2.11e-150 1.00e+00 1.00e+00 1.00e-01 40 1.6 2.036e-13 2.400e+02 2.400e+02 5.94e-15 1.91e-152 0.00e+00 4.09e-151 1.00e+00 1.00e+00 1.00e-01 41 1.6 2.037e-14 2.400e+02 2.400e+02 5.94e-16 1.91e-152 0.00e+00 2.44e-150 1.00e+00 1.00e+00 1.00e-01 42 1.7 2.037e-15 2.400e+02 2.400e+02 5.94e-17 1.91e-152 0.00e+00 2.63e-150 1.00e+00 1.00e+00 1.00e-01 43 1.7 2.037e-16 2.400e+02 2.400e+02 5.94e-18 9.55e-153 0.00e+00 5.20e-150 1.00e+00 1.00e+00 1.00e-01 44 1.7 2.037e-17 2.400e+02 2.400e+02 5.94e-19 1.91e-152 0.00e+00 1.76e-149 1.00e+00 1.00e+00 1.00e-01 45 1.7 2.037e-18 2.400e+02 2.400e+02 5.94e-20 1.91e-152 0.00e+00 3.46e-149 1.00e+00 1.00e+00 1.00e-01 46 1.7 2.038e-19 2.400e+02 2.400e+02 5.94e-21 1.91e-152 0.00e+00 7.84e-149 1.00e+00 1.00e+00 1.00e-01 47 1.7 2.038e-20 2.400e+02 2.400e+02 5.94e-22 4.77e-153 0.00e+00 3.88e-148 1.00e+00 1.00e+00 1.00e-01 48 1.7 2.038e-21 2.400e+02 2.400e+02 5.94e-23 9.55e-153 0.00e+00 9.73e-149 1.00e+00 1.00e+00 1.00e-01 49 1.8 2.038e-22 2.400e+02 2.400e+02 5.94e-24 1.91e-152 0.00e+00 4.15e-148 1.00e+00 1.00e+00 1.00e-01 50 1.8 2.038e-23 2.400e+02 2.400e+02 5.95e-25 1.91e-152 0.00e+00 6.24e-148 1.00e+00 1.00e+00 1.00e-01 51 1.8 2.039e-24 2.400e+02 2.400e+02 5.95e-26 9.55e-153 0.00e+00 2.95e-147 1.00e+00 1.00e+00 1.00e-01 52 1.8 2.039e-25 2.400e+02 2.400e+02 5.95e-27 1.91e-152 0.00e+00 9.08e-148 1.00e+00 1.00e+00 1.00e-01 53 1.8 2.039e-26 2.400e+02 2.400e+02 5.95e-28 1.91e-152 0.00e+00 1.02e-146 1.00e+00 1.00e+00 1.00e-01 54 1.8 2.039e-27 2.400e+02 2.400e+02 5.95e-29 1.91e-152 0.00e+00 2.85e-146 1.00e+00 1.00e+00 1.00e-01 55 1.9 2.039e-28 2.400e+02 2.400e+02 5.95e-30 1.91e-152 0.00e+00 4.56e-146 1.00e+00 1.00e+00 1.00e-01 56 1.9 2.040e-29 2.400e+02 2.400e+02 5.95e-31 4.77e-153 0.00e+00 7.60e-146 1.00e+00 1.00e+00 1.00e-01 57 1.9 2.040e-30 2.400e+02 2.400e+02 5.95e-32 1.91e-152 0.00e+00 3.03e-146 1.00e+00 1.00e+00 1.00e-01 58 1.9 2.040e-31 2.400e+02 2.400e+02 5.95e-33 1.91e-152 0.00e+00 7.54e-145 1.00e+00 1.00e+00 1.00e-01 59 1.9 2.040e-32 2.400e+02 2.400e+02 5.95e-34 1.91e-152 0.00e+00 4.79e-145 1.00e+00 1.00e+00 1.00e-01 60 1.9 2.040e-33 2.400e+02 2.400e+02 5.95e-35 1.91e-152 0.00e+00 1.82e-144 1.00e+00 1.00e+00 1.00e-01 61 1.9 2.041e-34 2.400e+02 2.400e+02 5.95e-36 9.55e-153 0.00e+00 6.52e-144 1.00e+00 1.00e+00 1.00e-01 62 2.0 2.041e-35 2.400e+02 2.400e+02 5.95e-37 1.91e-152 0.00e+00 7.24e-144 1.00e+00 1.00e+00 1.00e-01 63 2.0 2.041e-36 2.400e+02 2.400e+02 5.95e-38 1.91e-152 0.00e+00 4.06e-144 1.00e+00 1.00e+00 1.00e-01 64 2.0 2.041e-37 2.400e+02 2.400e+02 5.95e-39 1.91e-152 0.00e+00 2.46e-143 1.00e+00 1.00e+00 1.00e-01 65 2.0 2.041e-38 2.400e+02 2.400e+02 5.95e-40 3.82e-152 0.00e+00 5.99e-143 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 2.002603 seconds (869.87 k allocations: 55.098 MiB, 75.26% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:240.000000000000000000000000000000000000014291885215852291344379285618315329461037065207487964661955936231955495287806629710254733495427194206526066880180498 Dual objective:239.999999999999999999999999999999999999985708114784147708655620714381684670538998174502298800511778876922879384963800959285239495312835968621316964415223445 duality gap:5.95495217327178806015803567429805394209143556358107586462022068939085631750118090135570299603073379624111785494397507775635178885529354985295499310805547071e-41 ** Starting computation of basis transformations ** Block 0 of size 1 x 1 Block 0 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 5 of size 1 x 1 Block 2 of size 1 x 1 Block 4 of size 1 x 1 Block 1 of size 1 x 1 Block 6 of size 1 x 1 Block 3 of size 1 x 1 Block B of size 3 x 3 Block B has 2 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block A of size 4 x 4 Block A has 4 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 ** Finished computation of basis transformations (10.509683982s) ** ** Transforming the problem and the solution ** (7.316023157s) ** Projection the solution into the affine space ** Reducing the system from 7 columns to 7 columns Constructing the linear system... (8.898303159s) Preprocessing to get an integer system... (6.9879e-5s) Finding the pivots of A using RREF mod p... (0.000212848 7.448e-5 s) Solving the system of size 7 x 7 using the pseudoinverse... 0.883048563s ** Finished projection into affine space (12.516690264s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.176959847) [ Info: Creating the univariate constraint [ Info: Constructing trivariate constraint iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.4 1.000e+06 1.000e+00 5.001e+03 1.00e+00 1.00e+03 0.00e+00 2.36e+06 6.53e-01 5.28e-01 3.00e-01 2 0.6 5.015e+05 5.164e+02 3.088e+03 7.13e-01 3.47e+02 0.00e+00 1.12e+06 4.22e-01 6.07e-01 3.00e-01 3 0.9 3.499e+05 6.688e+02 8.065e+03 8.47e-01 2.00e+02 0.00e+00 4.38e+05 5.84e-01 4.21e-01 3.00e-01 4 1.1 2.030e+05 5.414e+02 1.758e+04 9.40e-01 8.32e+01 0.00e+00 2.54e+05 4.22e-01 9.53e-01 3.00e-01 5 2.0 1.588e+05 3.876e+02 6.630e+04 9.88e-01 4.81e+01 0.00e+00 1.18e+04 7.78e-01 1.00e+00 3.00e-01 6 2.3 5.705e+04 1.104e+02 1.123e+05 9.98e-01 1.07e+01 0.00e+00 1.48e-66 8.24e-01 1.00e+00 3.00e-01 7 2.5 1.728e+04 2.822e+01 1.690e+05 1.00e+00 1.88e+00 0.00e+00 2.28e-66 8.75e-01 1.00e+00 3.00e-01 8 2.8 4.993e+03 1.126e+01 1.883e+05 1.00e+00 2.35e-01 0.00e+00 5.52e-66 8.48e-01 9.86e-01 3.00e-01 9 3.0 1.681e+03 9.036e+00 9.790e+04 1.00e+00 3.57e-02 0.00e+00 7.51e-66 8.19e-01 1.00e+00 3.00e-01 10 3.3 5.450e+02 8.700e+00 3.672e+04 1.00e+00 6.44e-03 0.00e+00 8.72e-66 8.33e-01 1.00e+00 3.00e-01 11 3.5 1.723e+02 8.588e+00 1.271e+04 9.99e-01 1.08e-03 0.00e+00 2.04e-66 1.00e+00 1.00e+00 3.00e-01 12 3.8 5.146e+01 8.519e+00 4.074e+03 9.96e-01 5.20e-74 0.00e+00 7.08e-67 1.00e+00 1.00e+00 3.00e-01 13 4.0 1.544e+01 8.502e+00 1.228e+03 9.86e-01 2.29e-73 0.00e+00 6.45e-68 9.92e-01 9.92e-01 1.00e-01 14 4.4 1.654e+00 8.507e+00 1.392e+02 8.85e-01 1.00e-73 0.00e+00 3.59e-69 9.78e-01 9.78e-01 1.00e-01 15 5.2 1.981e-01 8.562e+00 2.421e+01 4.77e-01 1.01e-73 0.00e+00 7.83e-70 8.60e-01 8.60e-01 1.00e-01 16 5.4 4.484e-02 8.877e+00 1.242e+01 1.66e-01 2.90e-74 0.00e+00 1.47e-69 8.02e-01 8.02e-01 1.00e-01 17 5.6 1.245e-02 9.486e+00 1.047e+01 4.93e-02 3.84e-74 0.00e+00 2.62e-69 7.62e-01 7.62e-01 1.00e-01 18 5.9 3.917e-03 9.841e+00 1.015e+01 1.55e-02 6.66e-74 0.00e+00 6.69e-69 7.52e-01 7.52e-01 1.00e-01 19 6.1 1.267e-03 9.941e+00 1.004e+01 5.01e-03 1.18e-73 0.00e+00 3.31e-69 8.14e-01 8.14e-01 1.00e-01 20 6.4 3.392e-04 9.983e+00 1.001e+01 1.34e-03 8.40e-74 0.00e+00 1.46e-69 7.89e-01 7.89e-01 1.00e-01 21 6.6 9.835e-05 9.995e+00 1.000e+01 3.89e-04 7.24e-74 0.00e+00 1.46e-68 9.42e-01 9.42e-01 1.00e-01 22 6.9 1.496e-05 9.999e+00 1.000e+01 5.91e-05 3.65e-74 0.00e+00 2.52e-69 9.79e-01 9.79e-01 1.00e-01 23 7.2 1.780e-06 1.000e+01 1.000e+01 7.03e-06 7.52e-74 0.00e+00 3.80e-69 9.89e-01 9.89e-01 1.00e-01 24 8.0 1.951e-07 1.000e+01 1.000e+01 7.71e-07 8.62e-74 0.00e+00 2.24e-69 9.97e-01 9.97e-01 1.00e-01 25 8.2 2.009e-08 1.000e+01 1.000e+01 7.94e-08 1.56e-73 0.00e+00 3.53e-69 1.00e+00 1.00e+00 1.00e-01 26 8.5 2.016e-09 1.000e+01 1.000e+01 7.96e-09 5.40e-74 0.00e+00 6.76e-69 1.00e+00 1.00e+00 1.00e-01 27 8.7 2.017e-10 1.000e+01 1.000e+01 7.97e-10 1.09e-73 0.00e+00 9.03e-69 1.00e+00 1.00e+00 1.00e-01 28 9.0 2.017e-11 1.000e+01 1.000e+01 7.97e-11 1.24e-73 0.00e+00 1.27e-68 1.00e+00 1.00e+00 1.00e-01 29 9.2 2.017e-12 1.000e+01 1.000e+01 7.97e-12 9.29e-74 0.00e+00 7.65e-69 1.00e+00 1.00e+00 1.00e-01 30 9.5 2.018e-13 1.000e+01 1.000e+01 7.97e-13 1.40e-73 0.00e+00 7.01e-69 1.00e+00 1.00e+00 1.00e-01 31 9.7 2.018e-14 1.000e+01 1.000e+01 7.97e-14 2.87e-74 0.00e+00 1.05e-68 1.00e+00 1.00e+00 1.00e-01 32 10.1 2.018e-15 1.000e+01 1.000e+01 7.97e-15 1.25e-73 0.00e+00 1.16e-68 1.00e+00 1.00e+00 1.00e-01 33 10.9 2.018e-16 1.000e+01 1.000e+01 7.97e-16 1.06e-73 0.00e+00 2.48e-69 1.00e+00 1.00e+00 1.00e-01 34 11.1 2.018e-17 1.000e+01 1.000e+01 7.97e-17 8.57e-74 0.00e+00 1.04e-68 1.00e+00 1.00e+00 1.00e-01 35 11.4 2.019e-18 1.000e+01 1.000e+01 7.97e-18 1.53e-73 0.00e+00 1.01e-68 1.00e+00 1.00e+00 1.00e-01 36 11.6 2.019e-19 1.000e+01 1.000e+01 7.97e-19 2.09e-73 0.00e+00 7.46e-69 1.00e+00 1.00e+00 1.00e-01 37 11.9 2.019e-20 1.000e+01 1.000e+01 7.98e-20 7.79e-74 0.00e+00 1.06e-68 1.00e+00 1.00e+00 1.00e-01 38 12.1 2.019e-21 1.000e+01 1.000e+01 7.98e-21 1.18e-73 0.00e+00 5.27e-69 1.00e+00 1.00e+00 1.00e-01 39 12.4 2.019e-22 1.000e+01 1.000e+01 7.98e-22 3.59e-74 0.00e+00 1.50e-68 1.00e+00 1.00e+00 1.00e-01 40 12.6 2.020e-23 1.000e+01 1.000e+01 7.98e-23 2.51e-73 0.00e+00 9.26e-69 1.00e+00 1.00e+00 1.00e-01 41 12.9 2.020e-24 1.000e+01 1.000e+01 7.98e-24 2.20e-73 0.00e+00 6.34e-69 1.00e+00 1.00e+00 1.00e-01 42 13.7 2.020e-25 1.000e+01 1.000e+01 7.98e-25 1.82e-73 0.00e+00 7.06e-68 1.00e+00 1.00e+00 1.00e-01 43 14.0 2.020e-26 1.000e+01 1.000e+01 7.98e-26 9.12e-74 0.00e+00 1.15e-67 1.00e+00 1.00e+00 1.00e-01 44 14.2 2.020e-27 1.000e+01 1.000e+01 7.98e-27 7.13e-74 0.00e+00 3.77e-68 1.00e+00 1.00e+00 1.00e-01 45 14.5 2.021e-28 1.000e+01 1.000e+01 7.98e-28 2.41e-73 0.00e+00 3.80e-67 1.00e+00 1.00e+00 1.00e-01 46 14.7 2.021e-29 1.000e+01 1.000e+01 7.98e-29 1.08e-73 0.00e+00 2.58e-67 1.00e+00 1.00e+00 1.00e-01 47 15.0 2.021e-30 1.000e+01 1.000e+01 7.98e-30 1.40e-73 0.00e+00 6.93e-67 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 14.973688 seconds (17.72 M allocations: 1.147 GiB, 29.08% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:10.0000000000000000000000000000046489405146108261082604283244516865152603560218 Dual objective:9.999999999999999999999999999988680840486164945127713739788275650369666256828954 duality gap:7.984050014222940490273344268090680840901830913002519384164968896587007525658183e-31 ** Starting computation of basis transformations ** Block (:trivariatesos, 2, 2) of size 1 x 1 Block (:F, 4) of size 1 x 1 Block (:F, 4) has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block (:trivariatesos, 4, 3) of size 1 x 1 Block (:trivariatesos, 4, 1) of size 2 x 2 Block (:trivariatesos, 1, 2) of size 2 x 2 Block (:F, 3) of size 2 x 2 Block (:F, 3) has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block (:trivariatesos, 3, 3) of size 3 x 3 Block (:trivariatesos, 3, 3) has 1 kernel vectors. The maximum numerator and denominator are 7 and 6 After reduction, the maximum number of the basis transformation matrix is 7 Block (:F, 2) of size 3 x 3 Block (:F, 2) has 1 kernel vectors. The maximum numerator and denominator are 1 and 2 After reduction, the maximum number of the basis transformation matrix is 2 Block (:trivariatesos, 5, 3) of size 3 x 3 Block (:trivariatesos, 5, 3) has 2 kernel vectors. The maximum numerator and denominator are 1 and 2 After reduction, the maximum number of the basis transformation matrix is 2 Block (:trivariatesos, 3, 1) of size 4 x 4 Block (:trivariatesos, 3, 1) has 1 kernel vectors. The maximum numerator and denominator are 49 and 36 After reduction, the maximum number of the basis transformation matrix is 49 Block (:univariatesos, 2) of size 4 x 4 Block (:univariatesos, 2) has 1 kernel vectors. The maximum numerator and denominator are 22 and 27 After reduction, the maximum number of the basis transformation matrix is 27 Block (:trivariatesos, 5, 1) of size 4 x 4 Block (:trivariatesos, 5, 1) has 3 kernel vectors. The maximum numerator and denominator are 1 and 6 After reduction, the maximum number of the basis transformation matrix is 3 Block (:F, 1) of size 4 x 4 Block (:F, 0) of size 5 x 5 Block (:F, 0) has 1 kernel vectors. The maximum numerator and denominator are 23 and 144 After reduction, the maximum number of the basis transformation matrix is 144 Block (:univariatesos, 1) of size 5 x 5 Block (:univariatesos, 1) has 2 kernel vectors. The maximum numerator and denominator are 35 and 81 After reduction, the maximum number of the basis transformation matrix is 81 Block (:trivariatesos, 2, 3) of size 6 x 6 Block (:trivariatesos, 2, 3) has 2 kernel vectors. The maximum numerator and denominator are 13 and 36 After reduction, the maximum number of the basis transformation matrix is 36 Block (:trivariatesos, 2, 1) of size 7 x 7 Block (:trivariatesos, 2, 1) has 2 kernel vectors. The maximum numerator and denominator are 67 and 36 After reduction, the maximum number of the basis transformation matrix is 66 Block (:trivariatesos, 1, 3) of size 11 x 11 Block (:trivariatesos, 1, 3) has 2 kernel vectors. The maximum numerator and denominator are 67 and 72 After reduction, the maximum number of the basis transformation matrix is 72 Block (:trivariatesos, 1, 1) of size 11 x 11 Block (:trivariatesos, 1, 1) has 3 kernel vectors. The maximum numerator and denominator are 49 and 432 After reduction, the maximum number of the basis transformation matrix is 432 ** Finished computation of basis transformations (9.017190656s) ** ** Transforming the problem and the solution ** (1.87863923s) ** Projection the solution into the affine space ** Reducing the system from 161 columns to 161 columns Constructing the linear system... (3.140128943s) Preprocessing to get an integer system... (0.016939589s) Finding the pivots of A using RREF mod p... (0.019918232 0.010917346 s) Solving the system of size 50 x 52 using the pseudoinverse... 0.32682951s ** Finished projection into affine space (4.688426776s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.309075028) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.4 1.000e+20 1.000e+00 1.900e+11 1.00e+00 1.00e+10 0.00e+00 2.18e+11 3.69e-01 5.95e-01 3.00e-01 2 1.1 6.494e+19 1.223e+10 1.739e+11 8.69e-01 6.31e+09 0.00e+00 8.84e+10 7.31e-01 6.03e-01 3.00e-01 3 1.1 2.817e+19 3.102e+10 2.208e+11 7.54e-01 1.70e+09 0.00e+00 3.51e+10 6.85e-01 7.10e-01 3.00e-01 4 1.2 1.230e+19 3.546e+10 3.600e+11 8.21e-01 5.34e+08 0.00e+00 1.02e+10 5.57e-01 1.00e+00 3.00e-01 5 1.2 8.216e+18 2.178e+10 8.065e+11 9.47e-01 2.37e+08 0.00e+00 3.31e-78 7.69e-01 1.00e+00 3.00e-01 6 1.3 3.035e+18 5.560e+09 1.290e+12 9.91e-01 5.47e+07 0.00e+00 2.96e-77 8.01e-01 1.00e+00 3.00e-01 7 1.3 9.665e+17 1.150e+09 2.064e+12 9.99e-01 1.09e+07 0.00e+00 4.49e-77 8.65e-01 1.00e+00 3.00e-01 8 1.4 2.092e+17 1.573e+08 3.302e+12 1.00e+00 1.47e+06 0.00e+00 1.93e-76 8.98e-01 1.00e+00 3.00e-01 9 1.4 3.428e+16 1.603e+07 5.284e+12 1.00e+00 1.51e+05 0.00e+00 3.88e-77 8.88e-01 1.00e+00 3.00e-01 10 1.5 6.127e+15 1.797e+06 8.453e+12 1.00e+00 1.68e+04 0.00e+00 9.12e-77 8.99e-01 1.00e+00 3.00e-01 11 1.6 9.935e+14 1.816e+05 1.352e+13 1.00e+00 1.71e+03 0.00e+00 4.02e-77 8.93e-01 1.00e+00 3.00e-01 12 1.6 1.699e+14 1.946e+04 2.163e+13 1.00e+00 1.82e+02 0.00e+00 7.58e-76 9.00e-01 1.00e+00 3.00e-01 13 1.7 2.794e+13 2.009e+03 3.442e+13 1.00e+00 1.82e+01 0.00e+00 2.12e-75 8.98e-01 1.00e+00 3.00e-01 14 1.7 5.597e+12 2.662e+02 5.231e+13 1.00e+00 1.86e+00 0.00e+00 2.60e-75 8.79e-01 1.00e+00 3.00e-01 15 1.8 2.030e+12 9.171e+01 5.562e+13 1.00e+00 2.25e-01 0.00e+00 1.13e-75 7.97e-01 1.00e+00 3.00e-01 16 1.8 7.056e+11 7.350e+01 2.417e+13 1.00e+00 4.58e-02 0.00e+00 3.91e-76 8.24e-01 1.00e+00 3.00e-01 17 1.9 2.136e+11 7.073e+01 7.703e+12 1.00e+00 8.06e-03 0.00e+00 1.58e-76 1.00e+00 1.00e+00 3.00e-01 18 1.9 6.305e+10 6.979e+01 2.396e+12 1.00e+00 6.28e-89 0.00e+00 2.17e-75 1.00e+00 1.00e+00 3.00e-01 19 2.0 1.891e+10 6.985e+01 7.188e+11 1.00e+00 6.28e-89 0.00e+00 9.84e-75 9.94e-01 9.94e-01 1.00e-01 20 2.1 1.996e+09 6.986e+01 7.583e+10 1.00e+00 3.14e-89 0.00e+00 6.49e-77 1.00e+00 1.00e+00 1.00e-01 21 2.1 2.003e+08 6.986e+01 7.613e+09 1.00e+00 6.28e-89 0.00e+00 4.03e-77 1.00e+00 1.00e+00 1.00e-01 22 2.2 2.005e+07 6.987e+01 7.619e+08 1.00e+00 3.14e-89 0.00e+00 1.24e-78 1.00e+00 1.00e+00 1.00e-01 23 2.2 2.005e+06 6.987e+01 7.619e+07 1.00e+00 6.28e-89 0.00e+00 5.88e-80 1.00e+00 1.00e+00 1.00e-01 24 2.3 2.005e+05 6.988e+01 7.620e+06 1.00e+00 6.28e-89 0.00e+00 3.06e-80 1.00e+00 1.00e+00 1.00e-01 25 2.3 2.006e+04 6.988e+01 7.622e+05 1.00e+00 3.14e-89 0.00e+00 1.14e-81 1.00e+00 1.00e+00 1.00e-01 26 2.4 2.008e+03 6.989e+01 7.636e+04 9.98e-01 6.28e-89 0.00e+00 1.58e-82 9.99e-01 9.99e-01 1.00e-01 27 2.5 2.026e+02 6.998e+01 7.769e+03 9.82e-01 6.28e-89 0.00e+00 1.22e-83 9.90e-01 9.90e-01 1.00e-01 28 2.5 2.205e+01 7.086e+01 9.088e+02 8.55e-01 6.28e-89 0.00e+00 3.01e-84 9.26e-01 9.26e-01 1.00e-01 29 2.6 3.667e+00 7.788e+01 2.172e+02 4.72e-01 6.28e-89 0.00e+00 2.44e-84 8.10e-01 8.10e-01 1.00e-01 30 2.6 9.926e-01 1.015e+02 1.392e+02 1.57e-01 3.14e-89 0.00e+00 4.21e-84 6.72e-01 6.72e-01 1.00e-01 31 2.7 3.920e-01 1.120e+02 1.269e+02 6.23e-02 1.26e-88 0.00e+00 1.67e-84 8.04e-01 8.04e-01 1.00e-01 32 2.7 1.082e-01 1.179e+02 1.220e+02 1.71e-02 1.89e-88 0.00e+00 6.25e-85 8.72e-01 8.72e-01 1.00e-01 33 2.8 2.331e-02 1.195e+02 1.204e+02 3.69e-03 6.28e-89 0.00e+00 1.90e-84 9.67e-01 9.67e-01 1.00e-01 34 2.9 3.027e-03 1.199e+02 1.201e+02 4.79e-04 1.26e-88 0.00e+00 4.98e-84 9.83e-01 9.83e-01 1.00e-01 35 2.9 3.478e-04 1.200e+02 1.200e+02 5.51e-05 6.28e-89 0.00e+00 3.35e-84 9.94e-01 9.94e-01 1.00e-01 36 3.0 3.681e-05 1.200e+02 1.200e+02 5.83e-06 1.26e-88 0.00e+00 2.41e-84 9.99e-01 9.99e-01 1.00e-01 37 3.0 3.725e-06 1.200e+02 1.200e+02 5.90e-07 6.28e-89 0.00e+00 4.22e-85 1.00e+00 1.00e+00 1.00e-01 38 3.1 3.731e-07 1.200e+02 1.200e+02 5.91e-08 6.28e-89 0.00e+00 4.96e-84 1.00e+00 1.00e+00 1.00e-01 39 3.8 3.732e-08 1.200e+02 1.200e+02 5.91e-09 6.28e-89 0.00e+00 6.14e-85 1.00e+00 1.00e+00 1.00e-01 40 3.8 3.733e-09 1.200e+02 1.200e+02 5.91e-10 6.28e-89 0.00e+00 1.18e-84 1.00e+00 1.00e+00 1.00e-01 41 3.9 3.733e-10 1.200e+02 1.200e+02 5.91e-11 3.14e-89 0.00e+00 3.06e-84 1.00e+00 1.00e+00 1.00e-01 42 3.9 3.733e-11 1.200e+02 1.200e+02 5.91e-12 6.28e-89 0.00e+00 5.73e-84 1.00e+00 1.00e+00 1.00e-01 43 4.0 3.734e-12 1.200e+02 1.200e+02 5.91e-13 6.28e-89 0.00e+00 2.71e-84 1.00e+00 1.00e+00 1.00e-01 44 4.1 3.734e-13 1.200e+02 1.200e+02 5.91e-14 1.26e-88 0.00e+00 3.64e-85 1.00e+00 1.00e+00 1.00e-01 45 4.1 3.734e-14 1.200e+02 1.200e+02 5.91e-15 6.28e-89 0.00e+00 3.72e-84 1.00e+00 1.00e+00 1.00e-01 46 4.2 3.735e-15 1.200e+02 1.200e+02 5.91e-16 6.28e-89 0.00e+00 1.43e-83 1.00e+00 1.00e+00 1.00e-01 47 4.2 3.735e-16 1.200e+02 1.200e+02 5.91e-17 6.28e-89 0.00e+00 2.22e-83 1.00e+00 1.00e+00 1.00e-01 48 4.3 3.736e-17 1.200e+02 1.200e+02 5.91e-18 6.28e-89 0.00e+00 5.73e-83 1.00e+00 1.00e+00 1.00e-01 49 4.3 3.736e-18 1.200e+02 1.200e+02 5.92e-19 1.26e-88 0.00e+00 1.45e-82 1.00e+00 1.00e+00 1.00e-01 50 4.4 3.736e-19 1.200e+02 1.200e+02 5.92e-20 1.26e-88 0.00e+00 9.72e-83 1.00e+00 1.00e+00 1.00e-01 51 4.4 3.737e-20 1.200e+02 1.200e+02 5.92e-21 6.28e-89 0.00e+00 8.73e-83 1.00e+00 1.00e+00 1.00e-01 52 4.5 3.737e-21 1.200e+02 1.200e+02 5.92e-22 6.28e-89 0.00e+00 8.97e-82 1.00e+00 1.00e+00 1.00e-01 53 4.5 3.737e-22 1.200e+02 1.200e+02 5.92e-23 3.14e-89 0.00e+00 1.36e-81 1.00e+00 1.00e+00 1.00e-01 54 4.6 3.738e-23 1.200e+02 1.200e+02 5.92e-24 6.28e-89 0.00e+00 7.95e-81 1.00e+00 1.00e+00 1.00e-01 55 4.7 3.738e-24 1.200e+02 1.200e+02 5.92e-25 6.28e-89 0.00e+00 1.15e-80 1.00e+00 1.00e+00 1.00e-01 56 4.7 3.739e-25 1.200e+02 1.200e+02 5.92e-26 6.28e-89 0.00e+00 3.26e-81 1.00e+00 1.00e+00 1.00e-01 57 4.8 3.739e-26 1.200e+02 1.200e+02 5.92e-27 6.28e-89 0.00e+00 2.92e-80 1.00e+00 1.00e+00 1.00e-01 58 4.8 3.739e-27 1.200e+02 1.200e+02 5.92e-28 6.28e-89 0.00e+00 2.57e-80 1.00e+00 1.00e+00 1.00e-01 59 4.9 3.740e-28 1.200e+02 1.200e+02 5.92e-29 6.28e-89 0.00e+00 1.74e-79 1.00e+00 1.00e+00 1.00e-01 60 5.0 3.740e-29 1.200e+02 1.200e+02 5.92e-30 3.14e-89 0.00e+00 2.28e-79 1.00e+00 1.00e+00 1.00e-01 61 5.0 3.740e-30 1.200e+02 1.200e+02 5.92e-31 6.28e-89 0.00e+00 6.23e-79 1.00e+00 1.00e+00 1.00e-01 62 5.1 3.741e-31 1.200e+02 1.200e+02 5.92e-32 3.14e-89 0.00e+00 2.13e-78 1.00e+00 1.00e+00 1.00e-01 63 5.1 3.741e-32 1.200e+02 1.200e+02 5.92e-33 6.28e-89 0.00e+00 1.71e-78 1.00e+00 1.00e+00 1.00e-01 64 5.2 3.742e-33 1.200e+02 1.200e+02 5.92e-34 6.28e-89 0.00e+00 1.67e-78 1.00e+00 1.00e+00 1.00e-01 65 5.2 3.742e-34 1.200e+02 1.200e+02 5.92e-35 6.28e-89 0.00e+00 1.97e-78 1.00e+00 1.00e+00 1.00e-01 66 5.3 3.742e-35 1.200e+02 1.200e+02 5.93e-36 3.14e-89 0.00e+00 1.39e-77 1.00e+00 1.00e+00 1.00e-01 67 5.4 3.743e-36 1.200e+02 1.200e+02 5.93e-37 6.28e-89 0.00e+00 1.85e-77 1.00e+00 1.00e+00 1.00e-01 68 5.4 3.743e-37 1.200e+02 1.200e+02 5.93e-38 6.28e-89 0.00e+00 9.48e-77 1.00e+00 1.00e+00 1.00e-01 69 5.5 3.743e-38 1.200e+02 1.200e+02 5.93e-39 6.28e-89 0.00e+00 6.88e-77 1.00e+00 1.00e+00 1.00e-01 70 5.5 3.744e-39 1.200e+02 1.200e+02 5.93e-40 1.26e-88 0.00e+00 2.86e-76 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 5.523185 seconds (6.70 M allocations: 432.002 MiB, 41.77% gc time, 0.70% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:120.00000000000000000000000000000000000000599073730540359812481005961417692658989302548191855 Dual objective:119.99999999999999999999999999999999999999176273620507005257838616803050672593897611158515414 duality gap:5.9283337918056439776766214931959169378821029493139321160776747113317617725618261892320355143e-41 ** Starting computation of basis transformations ** Block 14 of size 1 x 1 Block 11 of size 1 x 1 Block 0 of size 1 x 1 Block 0 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 8 of size 1 x 1 Block 5 of size 1 x 1 Block 16 of size 1 x 1 Block 2 of size 1 x 1 Block 13 of size 1 x 1 Block 10 of size 1 x 1 Block 7 of size 1 x 1 Block 18 of size 1 x 1 Block 15 of size 1 x 1 Block 4 of size 1 x 1 Block 1 of size 1 x 1 Block 12 of size 1 x 1 Block 12 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 9 of size 1 x 1 Block 6 of size 1 x 1 Block 17 of size 1 x 1 Block 3 of size 1 x 1 Block B of size 9 x 9 Block B has 6 kernel vectors. The maximum numerator and denominator are 18 and 2 After reduction, the maximum number of the basis transformation matrix is 10 Block A of size 10 x 10 Block A has 8 kernel vectors. The maximum numerator and denominator are 12 and 1 After reduction, the maximum number of the basis transformation matrix is 1 ** Finished computation of basis transformations (15.650155722s) ** ** Transforming the problem and the solution ** (2.7708735190000002s) ** Projection the solution into the affine space ** Reducing the system from 26 columns to 26 columns Constructing the linear system... (2.179207034s) Computing an approximate solution in the extension field... (0.537543797s) Preprocessing to get an integer system... (0.006613397s) Finding the pivots of A using RREF mod p... (0.003996902 0.004550567 s) Solving the system of size 38 x 40 using the pseudoinverse... 0.025008114s ** Finished projection into affine space (5.651057445s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.217244485) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.1 1.000e+20 1.000e+00 7.000e+10 1.00e+00 1.00e+10 0.00e+00 7.05e+10 6.66e-01 6.95e-01 3.00e-01 2 0.1 4.559e+19 1.338e+10 7.193e+10 6.86e-01 3.34e+09 0.00e+00 2.15e+10 7.05e-01 7.53e-01 3.00e-01 3 0.2 1.822e+19 2.640e+10 9.901e+10 5.79e-01 9.85e+08 0.00e+00 5.31e+09 6.16e-01 7.88e-01 3.00e-01 4 0.2 8.970e+18 3.260e+10 1.789e+11 6.92e-01 3.78e+08 0.00e+00 1.12e+09 7.73e-01 1.00e+00 3.00e-01 5 0.2 3.189e+18 1.238e+10 3.561e+11 9.33e-01 8.58e+07 0.00e+00 7.62e-143 8.40e-01 1.00e+00 3.00e-01 6 0.2 8.172e+17 2.052e+09 5.731e+11 9.93e-01 1.37e+07 0.00e+00 4.26e-142 8.95e-01 1.00e+00 3.00e-01 7 0.2 1.367e+17 2.121e+08 9.202e+11 1.00e+00 1.44e+06 0.00e+00 3.89e-141 8.90e-01 1.00e+00 3.00e-01 8 0.2 2.412e+16 2.361e+07 1.476e+12 1.00e+00 1.58e+05 0.00e+00 3.46e-141 8.97e-01 1.00e+00 3.00e-01 9 0.3 3.957e+15 2.403e+06 2.364e+12 1.00e+00 1.62e+04 0.00e+00 4.05e-141 8.94e-01 1.00e+00 3.00e-01 10 0.3 6.738e+14 2.573e+05 3.785e+12 1.00e+00 1.73e+03 0.00e+00 1.90e-141 8.99e-01 1.00e+00 3.00e-01 11 0.3 1.095e+14 2.604e+04 6.056e+12 1.00e+00 1.75e+02 0.00e+00 3.25e-140 8.99e-01 1.00e+00 3.00e-01 12 0.3 1.816e+13 2.738e+03 9.636e+12 1.00e+00 1.76e+01 0.00e+00 4.83e-140 9.13e-01 1.00e+00 3.00e-01 13 0.3 3.342e+12 3.449e+02 1.456e+13 1.00e+00 1.53e+00 0.00e+00 5.36e-140 1.00e+00 1.00e+00 3.00e-01 14 0.3 1.007e+12 1.188e+02 1.410e+13 1.00e+00 9.55e-153 0.00e+00 2.33e-140 1.00e+00 1.00e+00 3.00e-01 15 0.4 3.022e+11 1.198e+02 4.231e+12 1.00e+00 9.55e-153 0.00e+00 9.23e-142 9.99e-01 9.99e-01 1.00e-01 16 0.4 3.062e+10 1.199e+02 4.287e+11 1.00e+00 9.55e-153 0.00e+00 9.66e-142 1.00e+00 1.00e+00 1.00e-01 17 0.4 3.063e+09 1.200e+02 4.288e+10 1.00e+00 9.55e-153 0.00e+00 3.39e-144 1.00e+00 1.00e+00 1.00e-01 18 0.4 3.063e+08 1.201e+02 4.288e+09 1.00e+00 1.19e-153 0.00e+00 2.25e-144 1.00e+00 1.00e+00 1.00e-01 19 0.4 3.063e+07 1.202e+02 4.289e+08 1.00e+00 9.55e-153 0.00e+00 4.37e-145 1.00e+00 1.00e+00 1.00e-01 20 0.4 3.064e+06 1.202e+02 4.289e+07 1.00e+00 9.55e-153 0.00e+00 6.85e-146 1.00e+00 1.00e+00 1.00e-01 21 0.4 3.064e+05 1.203e+02 4.290e+06 1.00e+00 9.55e-153 0.00e+00 2.37e-147 1.00e+00 1.00e+00 1.00e-01 22 0.5 3.065e+04 1.203e+02 4.292e+05 9.99e-01 1.91e-152 0.00e+00 4.97e-148 1.00e+00 1.00e+00 1.00e-01 23 0.5 3.075e+03 1.204e+02 4.317e+04 9.94e-01 9.55e-153 0.00e+00 2.06e-149 9.97e-01 9.97e-01 1.00e-01 24 0.5 3.167e+02 1.211e+02 4.554e+03 9.48e-01 4.77e-153 0.00e+00 6.40e-150 9.70e-01 9.70e-01 1.00e-01 25 0.5 4.021e+01 1.274e+02 6.904e+02 6.88e-01 9.55e-153 0.00e+00 1.55e-151 8.70e-01 8.70e-01 1.00e-01 26 0.5 8.743e+00 1.689e+02 2.913e+02 2.66e-01 1.91e-152 0.00e+00 1.85e-150 9.15e-01 9.15e-01 1.00e-01 27 0.5 1.547e+00 2.316e+02 2.532e+02 4.47e-02 1.91e-152 0.00e+00 2.12e-151 9.82e-01 9.82e-01 1.00e-01 28 0.6 1.800e-01 2.389e+02 2.414e+02 5.25e-03 9.55e-153 0.00e+00 2.25e-150 9.89e-01 9.89e-01 1.00e-01 29 0.6 1.986e-02 2.399e+02 2.401e+02 5.79e-04 1.91e-152 0.00e+00 1.95e-150 9.97e-01 9.97e-01 1.00e-01 30 0.6 2.030e-03 2.400e+02 2.400e+02 5.92e-05 1.91e-152 0.00e+00 5.46e-151 1.00e+00 1.00e+00 1.00e-01 31 0.6 2.034e-04 2.400e+02 2.400e+02 5.93e-06 1.91e-152 0.00e+00 2.76e-151 1.00e+00 1.00e+00 1.00e-01 32 0.6 2.035e-05 2.400e+02 2.400e+02 5.93e-07 9.55e-153 0.00e+00 2.39e-151 1.00e+00 1.00e+00 1.00e-01 33 0.6 2.035e-06 2.400e+02 2.400e+02 5.94e-08 1.91e-152 0.00e+00 1.97e-151 1.00e+00 1.00e+00 1.00e-01 34 0.7 2.035e-07 2.400e+02 2.400e+02 5.94e-09 1.91e-152 0.00e+00 3.11e-151 1.00e+00 1.00e+00 1.00e-01 35 0.7 2.035e-08 2.400e+02 2.400e+02 5.94e-10 1.91e-152 0.00e+00 1.33e-150 1.00e+00 1.00e+00 1.00e-01 36 0.7 2.036e-09 2.400e+02 2.400e+02 5.94e-11 1.91e-152 0.00e+00 1.61e-150 1.00e+00 1.00e+00 1.00e-01 37 0.7 2.036e-10 2.400e+02 2.400e+02 5.94e-12 1.91e-152 0.00e+00 6.51e-151 1.00e+00 1.00e+00 1.00e-01 38 0.7 2.036e-11 2.400e+02 2.400e+02 5.94e-13 9.55e-153 0.00e+00 1.32e-150 1.00e+00 1.00e+00 1.00e-01 39 0.7 2.036e-12 2.400e+02 2.400e+02 5.94e-14 1.91e-152 0.00e+00 5.88e-151 1.00e+00 1.00e+00 1.00e-01 40 0.7 2.036e-13 2.400e+02 2.400e+02 5.94e-15 1.91e-152 0.00e+00 7.58e-151 1.00e+00 1.00e+00 1.00e-01 41 0.8 2.037e-14 2.400e+02 2.400e+02 5.94e-16 1.91e-152 0.00e+00 3.77e-150 1.00e+00 1.00e+00 1.00e-01 42 0.8 2.037e-15 2.400e+02 2.400e+02 5.94e-17 1.91e-152 0.00e+00 4.09e-150 1.00e+00 1.00e+00 1.00e-01 43 0.8 2.037e-16 2.400e+02 2.400e+02 5.94e-18 1.91e-152 0.00e+00 1.94e-149 1.00e+00 1.00e+00 1.00e-01 44 0.8 2.037e-17 2.400e+02 2.400e+02 5.94e-19 1.91e-152 0.00e+00 1.05e-149 1.00e+00 1.00e+00 1.00e-01 45 0.8 2.037e-18 2.400e+02 2.400e+02 5.94e-20 1.91e-152 0.00e+00 2.58e-149 1.00e+00 1.00e+00 1.00e-01 46 0.8 2.038e-19 2.400e+02 2.400e+02 5.94e-21 1.91e-152 0.00e+00 3.59e-149 1.00e+00 1.00e+00 1.00e-01 47 0.9 2.038e-20 2.400e+02 2.400e+02 5.94e-22 1.91e-152 0.00e+00 1.21e-148 1.00e+00 1.00e+00 1.00e-01 48 0.9 2.038e-21 2.400e+02 2.400e+02 5.94e-23 1.91e-152 0.00e+00 1.03e-148 1.00e+00 1.00e+00 1.00e-01 49 0.9 2.038e-22 2.400e+02 2.400e+02 5.94e-24 1.91e-152 0.00e+00 8.62e-148 1.00e+00 1.00e+00 1.00e-01 50 0.9 2.038e-23 2.400e+02 2.400e+02 5.95e-25 1.91e-152 0.00e+00 2.42e-147 1.00e+00 1.00e+00 1.00e-01 51 0.9 2.039e-24 2.400e+02 2.400e+02 5.95e-26 1.91e-152 0.00e+00 6.06e-147 1.00e+00 1.00e+00 1.00e-01 52 0.9 2.039e-25 2.400e+02 2.400e+02 5.95e-27 4.33e-153 0.00e+00 1.01e-146 1.00e+00 1.00e+00 1.00e-01 53 1.0 2.039e-26 2.400e+02 2.400e+02 5.95e-28 1.91e-152 0.00e+00 4.53e-147 1.00e+00 1.00e+00 1.00e-01 54 1.0 2.039e-27 2.400e+02 2.400e+02 5.95e-29 3.82e-152 0.00e+00 9.87e-147 1.00e+00 1.00e+00 1.00e-01 55 1.0 2.039e-28 2.400e+02 2.400e+02 5.95e-30 3.82e-152 0.00e+00 1.88e-146 1.00e+00 1.00e+00 1.00e-01 56 1.0 2.040e-29 2.400e+02 2.400e+02 5.95e-31 1.91e-152 0.00e+00 2.92e-146 1.00e+00 1.00e+00 1.00e-01 57 1.0 2.040e-30 2.400e+02 2.400e+02 5.95e-32 9.55e-153 0.00e+00 5.76e-145 1.00e+00 1.00e+00 1.00e-01 58 1.0 2.040e-31 2.400e+02 2.400e+02 5.95e-33 1.91e-152 0.00e+00 1.16e-145 1.00e+00 1.00e+00 1.00e-01 59 1.0 2.040e-32 2.400e+02 2.400e+02 5.95e-34 1.91e-152 0.00e+00 9.23e-145 1.00e+00 1.00e+00 1.00e-01 60 1.1 2.040e-33 2.400e+02 2.400e+02 5.95e-35 1.91e-152 0.00e+00 1.19e-144 1.00e+00 1.00e+00 1.00e-01 61 1.1 2.041e-34 2.400e+02 2.400e+02 5.95e-36 1.91e-152 0.00e+00 5.30e-144 1.00e+00 1.00e+00 1.00e-01 62 1.1 2.041e-35 2.400e+02 2.400e+02 5.95e-37 1.91e-152 0.00e+00 2.53e-144 1.00e+00 1.00e+00 1.00e-01 63 1.1 2.041e-36 2.400e+02 2.400e+02 5.95e-38 1.91e-152 0.00e+00 1.42e-143 1.00e+00 1.00e+00 1.00e-01 64 1.1 2.041e-37 2.400e+02 2.400e+02 5.95e-39 1.91e-152 0.00e+00 3.44e-143 1.00e+00 1.00e+00 1.00e-01 65 1.1 2.041e-38 2.400e+02 2.400e+02 5.95e-40 1.91e-152 0.00e+00 4.94e-143 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.138030 seconds (869.93 k allocations: 54.699 MiB, 55.32% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:240.000000000000000000000000000000000000014291376348911968971224666938734645152939292136233957082035314829883607078499073584613600840792492461220891164859663 Dual objective:239.999999999999999999999999999999999999985708623651088031028775333061265354847095945064156212651233664189398631033410796886099933647811631474127307080078537 duality gap:5.95474014537998707134361122447276881371736397334953008975034388343437000939339054171457280240631554035282794795125091129371028485047337374437810068289260476e-41 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 1.000e+00 5.000e+10 1.00e+00 1.00e+10 0.00e+00 4.78e+10 6.47e-01 7.68e-01 3.00e-01 2 0.0 4.452e+19 9.876e+09 4.917e+10 6.66e-01 3.53e+09 0.00e+00 1.11e+10 7.56e-01 1.00e+00 3.00e-01 3 0.1 1.650e+19 7.446e+09 1.024e+11 8.64e-01 8.62e+08 0.00e+00 8.29e-79 8.44e-01 1.00e+00 3.00e-01 4 0.1 4.113e+18 8.652e+08 1.659e+11 9.90e-01 1.34e+08 0.00e+00 3.69e-79 8.90e-01 1.00e+00 3.00e-01 5 0.1 7.249e+17 1.033e+08 2.675e+11 9.99e-01 1.48e+07 0.00e+00 1.50e-78 8.93e-01 1.00e+00 3.00e-01 6 0.1 1.243e+17 1.043e+07 4.302e+11 1.00e+00 1.58e+06 0.00e+00 1.84e-78 8.95e-01 1.00e+00 3.00e-01 7 0.1 2.095e+16 1.151e+06 6.904e+11 1.00e+00 1.67e+05 0.00e+00 2.24e-78 8.96e-01 1.00e+00 3.00e-01 8 0.1 3.493e+15 1.156e+05 1.107e+12 1.00e+00 1.74e+04 0.00e+00 2.09e-78 8.97e-01 1.00e+00 3.00e-01 9 0.1 5.780e+14 1.233e+04 1.773e+12 1.00e+00 1.80e+03 0.00e+00 1.36e-77 8.97e-01 1.00e+00 3.00e-01 10 0.1 9.513e+13 1.239e+03 2.837e+12 1.00e+00 1.85e+02 0.00e+00 2.70e-78 9.00e-01 1.00e+00 3.00e-01 11 0.2 1.555e+13 1.320e+02 4.519e+12 1.00e+00 1.85e+01 0.00e+00 2.04e-77 9.06e-01 1.00e+00 3.00e-01 12 0.2 2.876e+12 1.774e+01 6.894e+12 1.00e+00 1.74e+00 0.00e+00 1.46e-77 9.63e-01 1.00e+00 3.00e-01 13 0.2 8.243e+11 6.641e+00 7.341e+12 1.00e+00 6.37e-02 0.00e+00 2.13e-77 1.00e+00 1.00e+00 3.00e-01 14 0.2 2.525e+11 6.501e+00 2.525e+12 1.00e+00 9.82e-91 0.00e+00 7.35e-78 1.00e+00 1.00e+00 3.00e-01 15 0.2 7.575e+10 6.597e+00 7.575e+11 1.00e+00 7.85e-90 0.00e+00 3.29e-78 1.00e+00 1.00e+00 1.00e-01 16 0.2 7.582e+09 6.607e+00 7.582e+10 1.00e+00 3.93e-90 0.00e+00 1.77e-78 1.00e+00 1.00e+00 1.00e-01 17 0.2 7.583e+08 6.615e+00 7.583e+09 1.00e+00 1.96e-90 0.00e+00 1.56e-80 1.00e+00 1.00e+00 1.00e-01 18 0.2 7.583e+07 6.623e+00 7.583e+08 1.00e+00 3.93e-90 0.00e+00 4.07e-81 1.00e+00 1.00e+00 1.00e-01 19 0.3 7.584e+06 6.629e+00 7.584e+07 1.00e+00 1.96e-90 0.00e+00 2.81e-82 1.00e+00 1.00e+00 1.00e-01 20 0.3 7.585e+05 6.635e+00 7.585e+06 1.00e+00 3.93e-90 0.00e+00 1.24e-82 1.00e+00 1.00e+00 1.00e-01 21 0.3 7.586e+04 6.641e+00 7.586e+05 1.00e+00 3.93e-90 0.00e+00 3.80e-84 1.00e+00 1.00e+00 1.00e-01 22 0.3 7.587e+03 6.646e+00 7.588e+04 1.00e+00 4.91e-91 0.00e+00 6.04e-85 1.00e+00 1.00e+00 1.00e-01 23 0.3 7.595e+02 6.651e+00 7.602e+03 9.98e-01 3.93e-90 0.00e+00 6.46e-86 9.99e-01 9.99e-01 1.00e-01 24 0.3 7.667e+01 6.662e+00 7.734e+02 9.83e-01 3.93e-90 0.00e+00 1.14e-86 9.90e-01 9.90e-01 1.00e-01 25 0.3 8.371e+00 6.736e+00 9.045e+01 8.61e-01 3.93e-90 0.00e+00 1.05e-87 9.21e-01 9.21e-01 1.00e-01 26 0.3 1.433e+00 7.334e+00 2.167e+01 4.94e-01 3.93e-90 0.00e+00 1.22e-88 8.84e-01 8.84e-01 1.00e-01 27 0.4 2.925e-01 1.016e+01 1.309e+01 1.26e-01 3.93e-90 0.00e+00 7.66e-89 9.45e-01 9.45e-01 1.00e-01 28 0.4 4.385e-02 1.181e+01 1.225e+01 1.82e-02 1.96e-90 0.00e+00 1.28e-89 9.76e-01 9.76e-01 1.00e-01 29 0.4 5.337e-03 1.197e+01 1.203e+01 2.22e-03 7.85e-90 0.00e+00 2.85e-89 9.89e-01 9.89e-01 1.00e-01 30 0.4 5.875e-04 1.200e+01 1.200e+01 2.45e-04 7.85e-90 0.00e+00 4.12e-89 9.98e-01 9.98e-01 1.00e-01 31 0.4 5.979e-05 1.200e+01 1.200e+01 2.49e-05 7.85e-90 0.00e+00 1.77e-89 1.00e+00 1.00e+00 1.00e-01 32 0.4 5.986e-06 1.200e+01 1.200e+01 2.49e-06 3.93e-90 0.00e+00 1.62e-89 1.00e+00 1.00e+00 1.00e-01 33 0.4 5.987e-07 1.200e+01 1.200e+01 2.49e-07 7.85e-90 0.00e+00 3.14e-89 1.00e+00 1.00e+00 1.00e-01 34 0.4 5.988e-08 1.200e+01 1.200e+01 2.49e-08 7.85e-90 0.00e+00 9.82e-90 1.00e+00 1.00e+00 1.00e-01 35 0.4 5.988e-09 1.200e+01 1.200e+01 2.50e-09 7.85e-90 0.00e+00 1.18e-89 1.00e+00 1.00e+00 1.00e-01 36 0.5 5.989e-10 1.200e+01 1.200e+01 2.50e-10 7.85e-90 0.00e+00 2.45e-89 1.00e+00 1.00e+00 1.00e-01 37 0.5 5.989e-11 1.200e+01 1.200e+01 2.50e-11 7.85e-90 0.00e+00 9.43e-89 1.00e+00 1.00e+00 1.00e-01 38 0.5 5.990e-12 1.200e+01 1.200e+01 2.50e-12 3.93e-90 0.00e+00 7.16e-88 1.00e+00 1.00e+00 1.00e-01 39 0.5 5.991e-13 1.200e+01 1.200e+01 2.50e-13 7.85e-90 0.00e+00 8.91e-88 1.00e+00 1.00e+00 1.00e-01 40 0.5 5.991e-14 1.200e+01 1.200e+01 2.50e-14 7.85e-90 0.00e+00 1.40e-87 1.00e+00 1.00e+00 1.00e-01 41 0.5 5.992e-15 1.200e+01 1.200e+01 2.50e-15 7.85e-90 0.00e+00 1.47e-88 1.00e+00 1.00e+00 1.00e-01 42 0.5 5.992e-16 1.200e+01 1.200e+01 2.50e-16 7.85e-90 0.00e+00 9.14e-87 1.00e+00 1.00e+00 1.00e-01 43 0.5 5.993e-17 1.200e+01 1.200e+01 2.50e-17 7.85e-90 0.00e+00 9.24e-87 1.00e+00 1.00e+00 1.00e-01 44 0.5 5.994e-18 1.200e+01 1.200e+01 2.50e-18 7.85e-90 0.00e+00 1.34e-86 1.00e+00 1.00e+00 1.00e-01 45 0.6 5.994e-19 1.200e+01 1.200e+01 2.50e-19 1.96e-90 0.00e+00 1.95e-86 1.00e+00 1.00e+00 1.00e-01 46 0.6 5.995e-20 1.200e+01 1.200e+01 2.50e-20 7.85e-90 0.00e+00 1.44e-85 1.00e+00 1.00e+00 1.00e-01 47 0.6 5.995e-21 1.200e+01 1.200e+01 2.50e-21 3.93e-90 0.00e+00 2.83e-86 1.00e+00 1.00e+00 1.00e-01 48 0.6 5.996e-22 1.200e+01 1.200e+01 2.50e-22 7.85e-90 0.00e+00 1.61e-85 1.00e+00 1.00e+00 1.00e-01 49 0.6 5.997e-23 1.200e+01 1.200e+01 2.50e-23 7.85e-90 0.00e+00 1.32e-85 1.00e+00 1.00e+00 1.00e-01 50 0.6 5.997e-24 1.200e+01 1.200e+01 2.50e-24 1.96e-90 0.00e+00 7.56e-85 1.00e+00 1.00e+00 1.00e-01 51 0.6 5.998e-25 1.200e+01 1.200e+01 2.50e-25 3.93e-90 0.00e+00 3.65e-84 1.00e+00 1.00e+00 1.00e-01 52 0.6 5.998e-26 1.200e+01 1.200e+01 2.50e-26 7.85e-90 0.00e+00 1.26e-83 1.00e+00 1.00e+00 1.00e-01 53 0.7 5.999e-27 1.200e+01 1.200e+01 2.50e-27 7.85e-90 0.00e+00 6.84e-84 1.00e+00 1.00e+00 1.00e-01 54 0.7 6.000e-28 1.200e+01 1.200e+01 2.50e-28 7.85e-90 0.00e+00 2.85e-83 1.00e+00 1.00e+00 1.00e-01 55 0.7 6.000e-29 1.200e+01 1.200e+01 2.50e-29 3.93e-90 0.00e+00 3.41e-84 1.00e+00 1.00e+00 1.00e-01 56 0.7 6.001e-30 1.200e+01 1.200e+01 2.50e-30 1.96e-90 0.00e+00 2.87e-83 1.00e+00 1.00e+00 1.00e-01 57 0.7 6.001e-31 1.200e+01 1.200e+01 2.50e-31 7.85e-90 0.00e+00 1.78e-82 1.00e+00 1.00e+00 1.00e-01 58 0.7 6.002e-32 1.200e+01 1.200e+01 2.50e-32 7.85e-90 0.00e+00 1.83e-82 1.00e+00 1.00e+00 1.00e-01 59 0.7 6.003e-33 1.200e+01 1.200e+01 2.50e-33 3.93e-90 0.00e+00 2.43e-82 1.00e+00 1.00e+00 1.00e-01 60 0.7 6.003e-34 1.200e+01 1.200e+01 2.50e-34 1.96e-90 0.00e+00 1.87e-82 1.00e+00 1.00e+00 1.00e-01 61 0.8 6.004e-35 1.200e+01 1.200e+01 2.50e-35 3.93e-90 0.00e+00 8.71e-82 1.00e+00 1.00e+00 1.00e-01 62 0.8 6.004e-36 1.200e+01 1.200e+01 2.50e-36 3.93e-90 0.00e+00 3.00e-81 1.00e+00 1.00e+00 1.00e-01 63 0.8 6.005e-37 1.200e+01 1.200e+01 2.50e-37 3.93e-90 0.00e+00 3.55e-81 1.00e+00 1.00e+00 1.00e-01 64 0.8 6.006e-38 1.200e+01 1.200e+01 2.50e-38 7.85e-90 0.00e+00 3.39e-81 1.00e+00 1.00e+00 1.00e-01 65 0.8 6.006e-39 1.200e+01 1.200e+01 2.50e-39 3.93e-90 0.00e+00 1.84e-80 1.00e+00 1.00e+00 1.00e-01 66 0.8 6.007e-40 1.200e+01 1.200e+01 2.50e-40 7.85e-90 0.00e+00 3.80e-80 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.810357 seconds (482.41 k allocations: 27.921 MiB, 63.94% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:12.000000000000000000000000000000000000000300373171595261030832550663344713211552241583975986 Dual objective:11.99999999999999999999999999999999999999969962682840473896916744933665528678844809644440258 duality gap:2.5031097632938419236045888612059434296006047482225253249136428585916645938347560937480752772e-41 Rounding: Error During Test at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:100 Test threw exception Expression: begin #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:101 =# (n1, d1, costheta1, val1) = (8, 3, 1 // 2, 240) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:102 =# (obj, problem1, dualsol1, primalsol1) = delsarte_exact(n1, d1, costheta1; prec = 512) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:105 =# (R1, x1) = polynomial_ring(QQ, :x) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:106 =# b1 = [x1 ^ k for k = 0:2d1] #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:109 =# (N, z) = number_field(x1 ^ 2 - 5, :z) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:110 =# gapprox = sqrt(big(5)) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:111 =# (n2, d2, costheta2, val2) = (3, 2, 1 / z, 12) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:112 =# (obj2, problem2, dualsol2, primalsol2) = delsarte_exact(n2, d2, costheta2; FF = N, g = gapprox) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:114 =# (R2, x2) = polynomial_ring(N, :x) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:115 =# b2 = [x2 ^ k for k = 0:2d2] #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:118 =# for k = 0:2d2 #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:119 =# (problem2.constraints[1]).matrixcoeff[k] = matrix(R2, (problem2.constraints[1]).matrixcoeff[k]) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:120 =# end #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:122 =# all_success = true #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:123 =# for idx = 1:2 #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:124 =# if idx == 1 #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:125 =# (problem, dualsol, primalsol, b, FF, g, val) = (problem1, dualsol1, primalsol1, b1, QQ, BigFloat(1), val1) else #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:127 =# (problem, dualsol, primalsol, b, FF, g, val) = (problem2, dualsol2, primalsol2, b2, N, gapprox, val2) end #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:129 =# for k = Iterators.product([[true, false] for i = 1:7]...) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:130 =# for s = [2, 100] #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:131 =# settings = RoundingSettings(kernel_lll = k[1], kernel_use_dual = k[2], reduce_kernelvectors = k[3], unimodular_transform = k[4], normalize_transformation = k[5], pseudo = k[6], extracolumns_linindep = k[7], reduce_kernelvectors_cutoff = s, reduce_kernelvectors_stepsize = if s == 2 1 else 100 end) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:141 =# (success1, exactprimalsol) = exact_solution(problem, dualsol, primalsol; FF = FF, g = g, monomial_bases = [b], settings = settings, verbose = false) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:142 =# (success2, exactprimalsol) = exact_solution(problem, dualsol, primalsol; FF = FF, g = g, settings = settings, verbose = false) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:145 =# all_success = all_success && (success1 && (success2 && objvalue(problem, exactprimalsol) == val)) #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:146 =# end #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:147 =# end #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:148 =# end #= /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:149 =# all_success end BoundsError: attempt to access 1×1 Matrix{BigFloat} at index [2, 1] Stacktrace: [1] throw_boundserror(A::Matrix{BigFloat}, I::Tuple{Int64, Int64}) @ Base ./essentials.jl:13 [2] checkbounds @ ./essentials.jl:385 [inlined] [3] getindex @ ./array.jl:962 [inlined] [4] lmul!(Q::LinearAlgebra.HessenbergQ{BigFloat, Matrix{BigFloat}, Vector{BigFloat}, false}, B::Matrix{BigFloat}) @ GenericLinearAlgebra ~/.julia/packages/GenericLinearAlgebra/X90Kh/src/svd.jl:446 [5] svd!(A::Matrix{BigFloat}; tol::BigFloat, full::Bool, alg::LinearAlgebra.DivideAndConquer, atol::Int64, rtol::Int64) @ GenericLinearAlgebra ~/.julia/packages/GenericLinearAlgebra/X90Kh/src/svd.jl:659 [6] svd! @ ~/.julia/packages/GenericLinearAlgebra/X90Kh/src/svd.jl:635 [inlined] [7] svd(A::Matrix{BigFloat}; full::Bool, alg::LinearAlgebra.DivideAndConquer, atol::Int64, rtol::Int64) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/svd.jl:194 [8] svd @ /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/svd.jl:193 [inlined] [9] detecteigenvectors(block::Matrix{BigFloat}, bits::Int64, errbound::Float64; FF::QQField, g::BigFloat) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/eshII/src/rounding.jl:631 [10] detecteigenvectors @ ~/.julia/packages/ClusteredLowRankSolver/eshII/src/rounding.jl:630 [inlined] [11] basis_transformations(dualsol::DualSolution{BigFloat}, sol::PrimalSolution{BigFloat}; FF::QQField, g::BigFloat, settings::RoundingSettings, verbose::Bool) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/eshII/src/rounding.jl:765 [12] basis_transformations @ ~/.julia/packages/ClusteredLowRankSolver/eshII/src/rounding.jl:735 [inlined] [13] macro expansion @ ./timing.jl:503 [inlined] [14] exact_solution(problem::Problem, dualsol::DualSolution{BigFloat}, primalsol::PrimalSolution{BigFloat}; transformed::Bool, FF::QQField, g::BigFloat, settings::RoundingSettings, monomial_bases::Vector{Vector{QQPolyRingElem}}, verbose::Bool) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/eshII/src/rounding.jl:1359 [15] kwcall(::@NamedTuple{FF::QQField, g::BigFloat, monomial_bases::Vector{Vector{QQPolyRingElem}}, settings::RoundingSettings, verbose::Bool}, ::typeof(exact_solution), problem::Problem, dualsol::DualSolution{BigFloat}, primalsol::PrimalSolution{BigFloat}) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/eshII/src/rounding.jl:1351 [16] top-level scope @ ~/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:6 [17] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2243 [inlined] [18] macro expansion @ ~/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:70 [inlined] [19] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2243 [inlined] [20] macro expansion @ ~/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:100 [inlined] [21] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:778 [inlined] [22] macro expansion @ ~/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:141 [inlined] [ Info: Empty constraint found and removed. [ Info: Empty constraint found and removed. [ Info: The coefficient for the PSD variable 1 has an empty decomposition in a constraint, so we remove it from that constraint. [ Info: The matrix variable 1 is not used in any constraint and will be removed. Test Summary: | Pass Error Total Time ClusteredLowRankSolver.jl | 38 1 39 9m08.5s Examples | 5 5 4m46.9s Modelling | 1 1 8.2s saving | 3 3 1.6s Warnings | 2 2 1.3s Rounding | 4 1 5 3m48.4s SampledMPolyElem | 13 13 7.6s LowRankMat(Pol) | 2 2 2.2s SDPA format | 4 4 3.6s Checking | 4 4 8.7s RNG of the outermost testset: Random.Xoshiro(0xe84cb3dea0bf4c7b, 0x6e6532893d0287b0, 0x3e51abdd5cfcda85, 0xa6512b6b1d6c4658, 0xf74cd6baf6ad148c) ERROR: LoadError: Some tests did not pass: 38 passed, 0 failed, 1 errored, 0 broken. in expression starting at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests_solver.jl:4 in expression starting at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/runtests.jl:2 Testing failed after 572.78s ERROR: LoadError: Package ClusteredLowRankSolver errored during testing Stacktrace: [1] pkgerror(msg::String) @ Pkg.Types /opt/julia/share/julia/stdlib/v1.14/Pkg/src/Types.jl:68 [2] test(ctx::Pkg.Types.Context, pkgs::Vector{PackageSpec}; coverage::Bool, julia_args::Cmd, test_args::Cmd, test_fn::Nothing, force_latest_compatible_version::Bool, allow_earlier_backwards_compatible_versions::Bool, allow_reresolve::Bool) @ Pkg.Operations /opt/julia/share/julia/stdlib/v1.14/Pkg/src/Operations.jl:3138 [3] test @ /opt/julia/share/julia/stdlib/v1.14/Pkg/src/Operations.jl:3003 [inlined] [4] test(ctx::Pkg.Types.Context, pkgs::Vector{PackageSpec}; coverage::Bool, test_fn::Nothing, julia_args::Cmd, test_args::Cmd, force_latest_compatible_version::Bool, allow_earlier_backwards_compatible_versions::Bool, allow_reresolve::Bool, kwargs::@Kwargs{io::IOContext{IO}}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:586 [5] kwcall(::@NamedTuple{julia_args::Cmd, io::IOContext{IO}}, ::typeof(Pkg.API.test), ctx::Pkg.Types.Context, pkgs::Vector{PackageSpec}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:562 [6] test(pkgs::Vector{PackageSpec}; io::IOContext{IO}, kwargs::@Kwargs{julia_args::Cmd}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:172 [7] kwcall(::@NamedTuple{julia_args::Cmd}, ::typeof(Pkg.API.test), pkgs::Vector{PackageSpec}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:161 [8] test(pkgs::Vector{String}; kwargs::@Kwargs{julia_args::Cmd}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:160 [9] test @ /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:160 [inlined] [10] kwcall(::@NamedTuple{julia_args::Cmd}, ::typeof(Pkg.API.test), pkg::String) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:159 [11] top-level scope @ /PkgEval.jl/scripts/evaluate.jl:223 [12] include(mod::Module, _path::String) @ Base ./Base.jl:323 [13] exec_options(opts::Base.JLOptions) @ Base ./client.jl:344 [14] _start() @ Base ./client.jl:585 in expression starting at /PkgEval.jl/scripts/evaluate.jl:214 PkgEval failed after 1131.6s: package tests unexpectedly errored